Deck 4: Hypothesis Tests

Question 1

The following figure shows a randomization distribution for the hypotheses versus The statistic used for each sample is Which of the two possible sample results provides the most evidence against ?

A) = 56.5; = 51.3
B) = 50.2; = 53.1

Answer 1

= 56.5; = 51.3

Question 2

The average SAT-Critical Reading score for college bound students taking the exam in the 2018-2019 academic year was 501 531. A highly selective university wants to know if their 2020 incoming class had an average SAT-Critical Reading score that was higher than the national average. Which of the following possible samples provides the most evidence for this claim?

A) Sample A
B) Sample B
C) Sample C
D) Sample D

Answer 2

Sample D

Question 3

A statistical test uses data from a sample to assess a claim about a population.

Answer 3

True

Question 4

Identify the error in the following hypotheses: versus

Question 5

Identify the error in the following hypotheses: of versus

Question 6

Identify the error in the following hypotheses: versus

Question 7

Which of the following samples provides the most evidence that the amount of time spent studying for an exam and the grade on the exam are positively correlated?

A) Sample A
B) Sample B
C) Sample C
D) Sample D

Question 8

Use the following to answer the questions below:
A study described in Attention, Perception, and Psychophysics investigated the impacts of multi-tasking on people who play video games and those who don't. Participants in the study were asked to perform three visually demanding tasks with (dual-task) and without (single-task) answering unrelated questions over the phone. One of the tasks involved tracking multiple circles moving around on a computer monitor. At the 5% significance level, the authors of the study concluded "tracking accuracy was significantly worse in the dual-task condition" for both people who play video games and those who do not.
-What does the phrase "significantly worse" mean in this context?

Question 9

Of the two p-values, which provides more evidence against ?

A) p-value = 0.49
B) p-value = 0.007

Question 10

- p-value = 0.72

A) 0.42
B) 0.38
C) 0.51
D) 0.46

Question 11

- p-value = 0.293

A) 0.42
B) 0.38
C) 0.51
D) 0.46

Question 12

- p-value = 0.138

A) 0.42
B) 0.38
C) 0.51
D) 0.46

Question 13

- p-value = 0.019

A) 0.42
B) 0.38
C) 0.51
D) 0.46

Question 14

The randomization distribution for testing the hypotheses versus is provided. The sample statistic is Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this test.

Question 15

The provided figure displays the randomization distribution for testing versus

The p-value for the sample mean = 112 is closest to

A) 0.01
B) 0.25

Question 16

Decreasing the significance level of a hypothesis test (say, from 5% to 1%) will cause the p-value of an observed test statistic to

A) increase.
B) decrease.
C) stay the same.

Question 17

Using the definition of a p-value, explain why the area in the tail of a randomization distribution is used to compute a p-value.

Question 18

A Type I error occurs by

A) rejecting the null hypothesis when the null hypothesis is false.
B) not rejecting the null hypothesis when the null hypothesis is false.
C) rejecting the null hypothesis when the null hypothesis is true.
D) not rejecting the null hypothesis when the null hypothesis is true.

Question 19

Using a significance level of 5%, the appropriate conclusion for a test with a p-value of 0.0421 would be:

A) Reject
B) Do not reject

Question 20

The significance level, ?, represents the tolerable probability of making a Type II error.

Question 21

Use the following to answer the questions below:
Match each p-value to the most appropriate conclusion.

- "The evidence against the null and in favor of the alternative is very strong."

A) 0.0001
B) 0.0735
C) 0.6082
D) 0.0361

Question 22

Use the following to answer the questions below:
Match each p-value to the most appropriate conclusion.

- "The result is significant at the 5% level but not at a 1% level."

A) 0.0001
B) 0.0735
C) 0.6082
D) 0.0361

Question 23

Use the following to answer the questions below:
Match each p-value to the most appropriate conclusion.

- "There is really no evidence supporting the alternative hypothesis."

A) 0.0001
B) 0.0735
C) 0.6082
D) 0.0361

Question 24

Use the following to answer the questions below:
Match each p-value to the most appropriate conclusion.

- "The evidence against the null is significant, but only at the 10% level."

A) 0.0001
B) 0.0735
C) 0.6082
D) 0.0361

Question 25

Use the following to answer the questions below:
A study described in Attention, Perception, and Psychophysics investigated the impacts of multi-tasking on people who play video games and those who don't. Participants in the study were asked to perform three visually demanding tasks with (dual-task) and without (single-task) answering unrelated questions over the phone. One of the tasks involved tracking multiple circles moving around on a computer monitor. At the 5% significance level, the authors of the study concluded "tracking accuracy was significantly worse in the dual-task condition" for both people who play video games and those who do not.

-What conclusion would the authors have made at the 10% significance level?

A) Tracking accuracy was significantly worse in the dual-task condition.
B) Tracking accuracy was not significantly worse in the dual-task condition.
C) Not enough information

Question 26

Use the following to answer the questions below:
A study described in Attention, Perception, and Psychophysics investigated the impacts of multi-tasking on people who play video games and those who don't. Participants in the study were asked to perform three visually demanding tasks with (dual-task) and without (single-task) answering unrelated questions over the phone. One of the tasks involved tracking multiple circles moving around on a computer monitor. At the 5% significance level, the authors of the study concluded "tracking accuracy was significantly worse in the dual-task condition" for both people who play video games and those who do not.

-What conclusion would the authors have made at the 1% significance level?

A) Tracking accuracy was significantly worse in the dual-task condition.
B) Tracking accuracy was not significantly worse in the dual-task condition.
C) Not enough information

Question 27

Use the following to answer the questions below:
A study described in Attention, Perception, and Psychophysics investigated the impacts of multi-tasking on people who play video games and those who don't. Participants in the study were asked to perform three visually demanding tasks with (dual-task) and without (single-task) answering unrelated questions over the phone. One of the tasks involved tracking multiple circles moving around on a computer monitor. At the 5% significance level, the authors of the study concluded "tracking accuracy was significantly worse in the dual-task condition" for both people who play video games and those who do not.
-Which type of error, Type I or Type II, could have occurred in this situation? Briefly justify your answer.

Question 28

It is of interest to test the hypotheses : p = 0.8 versus The sample outcome, based on observations, is and the randomization statistic to be calculated is . The p-value for this test was found to be 0.322. If the test was performed correctly, where should the randomization distribution be centered?

A) 0.7
B) 10
C) 0.8
D) 0.322

Question 29

It is believed that about 37% of college students binge drink (5 or more drinks for men, and 4 or more drinks for women, in two hours). Administrators at a small university of 6,000 students want to do a study to determine if the proportion of their students who binge drink differs from 37%. They select a sample of 98 students enrolled at the university to survey about their drinking behavior. When generating the randomization distribution for this test, how large should each individual randomization sample be?

A) 98 because that is the size of the original sample
B) 1,000 to get an accurate randomization distribution
C) 6,000 because that is the size of the university
D) 2,220 because that is 37% of the students at the university

Question 30

When generating a randomization sample, the sample should be consistent with the ________ hypothesis.

Question 31

The null and alternative hypotheses for a test are vs. Give the notation for a sample statistic we might record for each simulated sample to create the randomization distribution.

A)
B) p
C) $\mu$
D)

Question 32

Use the following to answer the questions below:
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.
‪
-Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 33

Use the following to answer the questions below:
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.
‪
-Use the provided randomization distribution (based on 100 samples) to test if this sample provides evidence that the proportion of candies that are green differs for the two types of M&M's. Include an assessment of the strength of your evidence.

Question 34

Use the following to answer the questions below:
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.
‪
-Use technology and the provided data to test if this sample provides evidence that the proportion of candies that are green differs for the two types of M&M's. Include an assessment of the strength of your evidence.

Question 35

Use the following to answer the questions below:
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.

-Define the appropriate parameter(s) and state the hypotheses for testing if the proportion of green M&M's differs for milk chocolate and dark chocolate M&M's.

Question 36

Use the following to answer the questions below:
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.

-Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 37

Use the following to answer the questions below:
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.

-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses. Use your randomization distribution to estimate the p-value for this sample.

Question 38

Use the following to answer the questions below:
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.

-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses and estimate the p-value. Use your p-value to make a decision about these hypotheses. Be sure to word your decision in the context of the problem. Include an assessment of the strength of your evidence.

Question 39

Use the following to answer the questions below
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.

-Define the appropriate parameter(s) and state the hypotheses for testing if the proportion of green M&M's differs for milk chocolate and dark chocolate M&M's.

Question 40

Use the following to answer the questions below
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.

-Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 41

Use the following to answer the questions below
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.

-Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample.

Question 42

Use the following to answer the questions below
A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data are summarized in the following table.

-Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. Use your p-value to make a decision about these hypotheses. Be sure to word your decision in the context of the problem. Include an assessment of the strength of your evidence.

Question 43

Use the following to answer the questions below:

-Describe how you could generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 44

Use the following to answer the questions below:

-Use the provided randomization distribution (based on 1,000 samples) to test if this sample provides evidence that the average gas price in Illinois exceeds the national average. Include an assessment of the strength of your evidence.

Question 45

Use the following to answer the questions below:

-Use technology and the provided data to test if this sample provides evidence that the average gas price in Illinois exceeds the national average. Include an assessment of the strength of your evidence.

Question 46

Use the following to answer the questions below:


-Define the appropriate parameter(s) and state the hypotheses for testing if this sample provides evidence that the average gas price in Illinois exceeds the national average.

A)
B)
C)
D)

Question 47

Use the following to answer the questions below:

-Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 48

Use the following to answer the questions below:

-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses. Use your randomization distribution to estimate the p-value for this sample.

Question 49

Use the following to answer the questions below:

-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses and estimate the p-value. Use your p-value to make a decision about these hypotheses. Be sure to word your decision in the context of the problem. Include an assessment of the strength of your evidence.

Question 50

Use the following to answer the questions below:


-Define the appropriate parameter(s) and state the hypotheses for testing if this sample provides evidence that the average gas price in Illinois exceeds the national average.

A)
B)
C)
D)

Question 51

Use the following to answer the questions below:

-Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 52

Use the following to answer the questions below:

-Use the provided randomization distribution (based on 1,000 samples) to estimate the p-value for this sample.

Question 53

Use the following to answer the questions below:

-Use the provided randomization distribution (based on 1,000 samples) to estimate the p-value for this sample. Use your p-value to make a decision about these hypotheses. Be sure to word your decision in the context of the problem. Include an assessment of the strength of your evidence.

Question 54

Use the following to answer the questions below:

-The provided histogram displays the prices (in thousands of dollars) of 25 homes sold in 2019 in a Midwestern city.

In general, this shape, right skewed with some unusually high values, is common for describing home values in many cities. For this reason, the median home value for a city is a useful parameter. This sample of recently sold homes had a median price (value) of $232,500. Someone considering moving to this city is interested in knowing if the median home value is more than $200,000.
Describe how you would generate a single randomization sample in this situation, and identify the statistic you would calculate from the sample.

Question 55

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. The average age of the trees in the sample is about 120 years. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.
-Describe how you would generate a single randomization sample in this situation, and identify the statistic you would calculate for each sample.

Question 56

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. The average age of the trees in the sample is about 120 years. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.
-Use the provided randomization distribution (based on 100 samples) to determine if this sample provides evidence that the average age of the driftwood along this beach is less than 130 years. Use a 5% significance level to make your conclusion.

Question 57

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.

-Describe how you would generate a single randomization sample in this situation, and identify the statistic you would calculate for each sample.

Question 58

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.

-Use technology and the provided data to determine if this sample provides evidence that the average age of the driftwood along this beach is less than 130 years. Use a 5% significance level to make your conclusion.

Question 59

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. The average age of the trees in the sample is approximately 120 years. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.

-Define the appropriate parameter(s) and state the hypotheses for testing if this sample provides evidence that the average age of the driftwood along this beach is less than 130 years.

A)
B)
C)
D)

Question 60

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. The average age of the trees in the sample is approximately 120 years. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.
-Describe how you would generate a single randomization sample in this situation, and identify the statistic you would calculate for each sample.

Question 61

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. The average age of the trees in the sample is approximately 120 years. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.
-Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample.

Question 62

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. The average age of the trees in the sample is approximately 120 years. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.
-Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. Use your p-value and a 5% significance level to make a decision about these hypotheses. Be sure to word your decision in the context of the problem.

Question 63

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. The average age of the trees in the sample is approximately 120 years. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.
-Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. What conclusion would you make at the 10% significance level?

Question 64

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.


-Define the appropriate parameter(s) and state the hypotheses for testing if this sample provides evidence that the average age of the driftwood along this beach is less than 130 years.

A)
B)
C)
D)

Question 65

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.

-Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 66

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.


-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses. Use your randomization distribution to estimate the p-value for this sample.

Question 67

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.

-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses and estimate the p-value. Use your p-value and a 5% significance level to make a decision about these hypotheses. Be sure to word your decision in the context of the problem.

Question 68

Use the following to answer the questions below:
A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging.

-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses and estimate the p-value. What conclusion would you make at the 10% significance level?

Question 69

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.

-Does this sample provide evidence that, on average, male students watch more television than female students at this university? Describe how you could generate a single randomization sample in this situation, and identify the statistic that you would calculate for each sample.

Question 70

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.

-Use technology to determine if this sample provides evidence that, on average, male students watch more television than female students at this university. Include an assessment of the strength of the evidence.

Question 71

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.

-Use the provided randomization distribution (based on 100 samples) to determine if this sample provides evidence that, on average, male students watch more television than female students at this university. Include an assessment of the strength of the evidence.

Question 72

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.


-Define the appropriate parameter(s) and state the hypotheses for testing if this sample provides evidence that, on average, male students watch more television than female students at this university.

A)
B)
C)
D)

Question 73

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.

-Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 74

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.

-Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample.

Question 75

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.


-Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. Use your p-value to make a decision about these hypotheses. Be sure to word your decision in the context of the problem.

A) This sample provides no evidence that male students watch more television each week than female students at this university.
B) This sample provides strong evidence that male students watch more television each week than female students at this university.

Question 76

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.

-Define the appropriate parameter(s) and state the hypotheses for testing if this sample provides evidence that, on average, male students watch more television than female students at this university.

Question 77

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.

-Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) the sample statistic you would record for each sample.

Question 78

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.

-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses. Use your randomization distribution to estimate the p-value for this sample.

Question 79

Use the following to answer the questions below:
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.


-Use technology to create a randomization distribution with at least 1,000 values for testing these hypotheses and estimate the p-value. Use your p-value to make a decision about these hypotheses. Be sure to word your decision in the context of the problem.

A) This sample provides no evidence that male students watch more television each week than female students at this university.
B) This sample provides strong evidence that male students watch more television each week than female students at this university.

Question 80

Use the following to answer the questions below:
The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-third of the city's households have pets (otherwise there won't be enough business). He samples 150 of the households and finds that 64 have pets.
-Describe how you could generate a single randomization sample in this situation, and identify the statistic that you would calculate for each sample.