Question 1

Find the critical value or values of $x ^ { 2 }$ based on the given information.
-$\begin{array} { l } 
\mathrm { H } _ { 1 } : \sigma < 0.14 \
\mathrm { n } = 23 \
\alpha = 0.10
\end{array}$

Accepted Answer

A)  $30.813$ 
B)  $14.848$ 
C)  $14.042$ 
D)  $- 30.813$ 
A)  $30.813$ 
B)  $14.848$ 
C)  $14.042$ 
D)  $- 30.813$

Question 2

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
-The owner of a football team claims that the average attendance at games is over 561, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis,
State the conclusion in nontechnical terms.

Accepted Answer

A)  There is sufficient evidence to support the claim that the mean attendance is greater than than 561. 
B)  There is sufficient evidence to support the claim that the mean attendance is less than 561. 
C)  There is not sufficient evidence to support the claim that the mean attendance is greater than 561. 
D)  There is not sufficient evidence to support the claim that the mean attendance is less than 561. 
A)  There is sufficient evidence to support the claim that the mean attendance is greater than than 561. 
B)  There is sufficient evidence to support the claim that the mean attendance is less than 561. 
C)  There is not sufficient evidence to support the claim that the mean attendance is greater than 561. 
D)  There is not sufficient evidence to support the claim that the mean attendance is less than 561.

Question 3

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
-A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

Accepted Answer

A)  There is not sufficient evidence to warrant rejection of the claim that the mean weight is less than 14 oz. 
B)  There is not sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz. 
C)  There is sufficient evidence to warrant rejection of the claim that the mean weight is less than 14 oz. 
D)  There is sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz. 
A)  There is not sufficient evidence to warrant rejection of the claim that the mean weight is less than 14 oz. 
B)  There is not sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz. 
C)  There is sufficient evidence to warrant rejection of the claim that the mean weight is less than 14 oz. 
D)  There is sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz.

Question 4

A hypothesis test is performed to test the claim that a population proportion is greater than 0.7. Find the probability of a type II error, $\beta$ , given that the true value of the population proportion is0.72. The sample size is 50 and the significance level is 0.05.

Accepted Answer

A)  0.7123 
B)  0.4129 
C)  0.5754 
D)  0.9706 
A)  0.7123 
B)  0.4129 
C)  0.5754 
D)  0.9706

Question 5

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
-The test statistic in a two-tailed test is z = -1.63.

Accepted Answer

A)  0.1032; fail to reject the null hypothesis 
B)  0.0516; fail to reject the null hypothesis 
C)  0.0516; reject the null hypothesis 
D)  0.9484; fail to reject the null hypothesis 
A)  0.1032; fail to reject the null hypothesis 
B)  0.0516; fail to reject the null hypothesis 
C)  0.0516; reject the null hypothesis 
D)  0.9484; fail to reject the null hypothesis

Question 6

Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected.
-At the $\alpha = 0.05$ significance level test the claim that a population has a standard deviation of 20.3. A random sample of 18 people yields a standard deviation of 27.1.

Accepted Answer

Test statistic: @#LAT-DLM&. Critical val

Question 7

Assume that a simple random sample has been selected from a normally distributed population and test the given claim.
Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim.
-Use a significance level of $\alpha = 0.01$ to test the claim that $\mu > 2.85$. The sample data consist of 9 scores for which $\bar { x } = 3.19$ and $s = 0.55$. Use the traditional method of testing hypotheses.

Accepted Answer

@#LAT-DLM&. Test statistic: @#LAT-DLM&. Critical v

Question 8

What do you conclude about the claim below? Do not use formal procedures or exact calculations. Use only the rare event rule and make a subjective estimate to determine whether the event is likely.

Claim: A roulette wheel is fair and in 40 consecutive spins of the wheel, black shows up 23 times. (A roulette wheel has 38 equally likely slots of which 18 are black).

Accepted Answer

If the roulette wheel were fair, one cou

Question 9

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
-An entomologist writes an article in a scientific journal which claims that fewer than 17 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

Accepted Answer

A)  There is sufficient evidence to support the claim that the true proportion is greater than 17 in ten thousand. 
B)  There is not sufficient evidence to support the claim that the true proportion is greater than 17 in ten thousand. 
C)  There is not sufficient evidence to support the claim that the true proportion is less than 17 in ten thousand. 
D)  There is sufficient evidence to support the claim that the true proportion is less than 17 in ten thousand. 
A)  There is sufficient evidence to support the claim that the true proportion is greater than 17 in ten thousand. 
B)  There is not sufficient evidence to support the claim that the true proportion is greater than 17 in ten thousand. 
C)  There is not sufficient evidence to support the claim that the true proportion is less than 17 in ten thousand. 
D)  There is sufficient evidence to support the claim that the true proportion is less than 17 in ten thousand.

Question 10

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.
-A company produces refrigerators for beer kegs. The refrigerators are supposed to maintain a mean temperature of 43°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the company and claims that the mean temperature is incorrect. Identify the type II
Error for the test.

Accepted Answer

A)  Fail to reject the claim that the mean temperature is equal to 43°F when it is actually 43°F. 
B)  Reject the claim that the mean temperature is equal to 43°F when it is actually 43°F. 
C)  Reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F. 
D)  Fail to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F. 
A)  Fail to reject the claim that the mean temperature is equal to 43°F when it is actually 43°F. 
B)  Reject the claim that the mean temperature is equal to 43°F when it is actually 43°F. 
C)  Reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F. 
D)  Fail to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

Question 11

What do you conclude about the claim below? Do not use formal procedures or exact calculations. Use only the rare event rule and make a subjective estimate to determine whether the event is likely.

Claim: A die is fair and in 100 rolls there are 63 sixes.

Accepted Answer

If the die were fair, the probability of

Question 12

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
-$\text { With } \mathrm { H } _ { 1 } : \mathrm { p } < 1 / 5 \text {, the test statistic is } \mathrm { z } = - 1.93 \text {. }$

Accepted Answer

A)  0.9732; fail to reject the null hypothesis 
B)  0.0268; reject the null hypothesis 
C)  0.0268; fail to reject the null hypothesis 
D)  0.0536; fail to reject the null hypothesis 
A)  0.9732; fail to reject the null hypothesis 
B)  0.0268; reject the null hypothesis 
C)  0.0268; fail to reject the null hypothesis 
D)  0.0536; fail to reject the null hypothesis

Question 13

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.
-A psychologist claims that more than 3% of adults suffer from extreme shyness. Identify the type II error for the test.

Accepted Answer

A)  Fail to reject the claim that the percentage of adults who suffer from extreme shyness is equal to 3% when that percentage is actually greater than 3%. 
B)  Reject the claim that the percentage of adults who suffer from extreme shyness is equal to 3% when that percentage is actually 3%. 
C)  Reject the claim that the percentage of adults who suffer from extreme shyness is equal to 3% when that percentage is actually greater than 3%. 
D)  Fail to reject the claim that the percentage of adults who suffer from extreme shyness is equal to 3% when that percentage is actually less than 3%. 
A)  Fail to reject the claim that the percentage of adults who suffer from extreme shyness is equal to 3% when that percentage is actually greater than 3%. 
B)  Reject the claim that the percentage of adults who suffer from extreme shyness is equal to 3% when that percentage is actually 3%. 
C)  Reject the claim that the percentage of adults who suffer from extreme shyness is equal to 3% when that percentage is actually greater than 3%. 
D)  Fail to reject the claim that the percentage of adults who suffer from extreme shyness is equal to 3% when that percentage is actually less than 3%.

Question 14

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
-A researcher claims that 62% of voters favor gun control. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

Accepted Answer

A)  There is not sufficient evidence to warrant rejection of the claim that 62% of voters favor gun control. 
B)  There is sufficient evidence to warrant rejection of the claim that 62% of voters favor gun control. 
C)  There is sufficient evidence to support the claim that more than 62% of voters favor gun control. 
D)  There is not sufficient evidence to support the claim that 62% of voters favor gun control. 
A)  There is not sufficient evidence to warrant rejection of the claim that 62% of voters favor gun control. 
B)  There is sufficient evidence to warrant rejection of the claim that 62% of voters favor gun control. 
C)  There is sufficient evidence to support the claim that more than 62% of voters favor gun control. 
D)  There is not sufficient evidence to support the claim that 62% of voters favor gun control.

Question 15

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim
-In one town, monthly incomes for men with college degrees are found to have a standard deviation of $650. Use a 0.01 significance level to test the claim that for men without college degrees in that town, incomes have a higher standard deviation. A random sample of 22 men without college degrees resulted in incomes with a standard deviation of $923.

Accepted Answer

Test statistic: @#LAT-DLM&. Critical val

Question 16

Suppose that you wish to use a hypothesis test to test a claim made by a juice bottling company regarding the mean amount of juice in its 16 oz bottles. Why does the original claim sometimes become the null hypothesis, and why does it sometimes become the alternative hypothesis? Give an example of a claim which would become the null hypothesis and an example of a claim would become the alternative hypothesis.

Accepted Answer

The null hypothesis must always contain

Question 17

Use the P-value method to test the claim that the population standard deviation of the systolic blood pressures of adults aged 40-50 is equal to $22 \mathrm { mmHg }$. The sample statistics are as follows: $\mathrm { n } = 23 , \overline { \mathrm { x } } = 132.3 \mathrm { mmHg } , \mathrm { s } = 26.9 \mathrm { mmHg }$. Be sure to state the hypotheses, the value of this test statistic, the P-value, and your conclusion. Use a significance level of $0.05$.

Accepted Answer

None

Question 18

Suppose that you are conducting a study on the effectiveness of a new teaching method and that you wish to use a hypothesis test to support your claim regarding the mean test score under this method. What restrictions are there in the wording of the claim? Will your claim become the null hypothesis or the alternative hypothesis, or does it depend on the situation? Give an example of a claim which is incorrectly worded.

Accepted Answer

When conducting a hypothesis test to sup

Question 19

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (µ, p, σ) for the
indicated parameter.
-An entomologist writes an article in a scientific journal which claims that fewer than 3 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.

Accepted Answer

A) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}>0.0003 \ \mathrm{H}_{1}: \mathrm{p} \leq 0.0003 \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: p=0.0003 \ \mathrm{H}_{1}: p>0.0003 \end{array}$ C) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}<0.0003 \ \mathrm{H}_{1}: \mathrm{p} \geq 0.0003 \end{array}$ D) $\begin{array}{l} H_{0}: p=0.0003 \ H_{1}: p<0.0003 \end{array}$ A) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}>0.0003 \ \mathrm{H}_{1}: \mathrm{p} \leq 0.0003 \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: p=0.0003 \ \mathrm{H}_{1}: p>0.0003 \end{array}$ C) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}<0.0003 \ \mathrm{H}_{1}: \mathrm{p} \geq 0.0003 \end{array}$ D) $\begin{array}{l} H_{0}: p=0.0003 \ H_{1}: p<0.0003 \end{array}$

Question 20

Discuss the rationale for hypothesis testing. Refer to the comparison of the assumption and the sample results.

Accepted Answer

When testing a claim, we make an assumpt

Find the critical value or values of $x ^ { 2 }$ based on the given information. - :\sigma<0.14 =23 \alpha=0.10

A hypothesis test is performed to test the claim that a population proportion is greater than 0.7. Find the probability of a type II error, $\beta$ , given that the true value of the population proportion is0.72. The sample size is 50 and the significance level is 0.05.

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). -The test statistic in a two-tailed test is z = -1.63.

What do you conclude about the claim below? Do not use formal procedures or exact calculations. Use only the rare event rule and make a subjective estimate to determine whether the event is likely. Claim: A die is fair and in 100 rolls there are 63 sixes.

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. -A psychologist claims that more than 3% of adults suffer from extreme shyness. Identify the type II error for the test.

Discuss the rationale for hypothesis testing. Refer to the comparison of the assumption and the sample results.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability

Discrete Probability Distributions

Normal Probability Distributions

Estimates and Sample Size

Inferences From Two Samples

Correlation and Regression

Chi-Square and Analysis of Variance

Filters

Exam 8: Hypothesis Testing

Find the critical value or values of x2x ^ { 2 }x2 based on the given information. - :\sigma<0.14 =23 \alpha=0.10

A hypothesis test is performed to test the claim that a population proportion is greater than 0.7. Find the probability of a type II error, β\betaβ , given that the true value of the population proportion is0.72. The sample size is 50 and the significance level is 0.05.

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). -The test statistic in a two-tailed test is z = -1.63.

What do you conclude about the claim below? Do not use formal procedures or exact calculations. Use only the rare event rule and make a subjective estimate to determine whether the event is likely. Claim: A die is fair and in 100 rolls there are 63 sixes.

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. -A psychologist claims that more than 3% of adults suffer from extreme shyness. Identify the type II error for the test.

Discuss the rationale for hypothesis testing. Refer to the comparison of the assumption and the sample results.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability

Discrete Probability Distributions

Normal Probability Distributions

Estimates and Sample Size

Inferences From Two Samples

Correlation and Regression

Chi-Square and Analysis of Variance

Filters

Find the critical value or values of $x ^ { 2 }$ based on the given information. - :\sigma<0.14 =23 \alpha=0.10

A hypothesis test is performed to test the claim that a population proportion is greater than 0.7. Find the probability of a type II error, $\beta$ , given that the true value of the population proportion is0.72. The sample size is 50 and the significance level is 0.05.