Question 1

In testing a hypothesis, you should always raise the question on the purpose of the study, survey or experiment.

Accepted Answer

A) True 
 B)False

Question 2

Which of the following would be an appropriate alternative hypothesis?

Accepted Answer

A)  The mean of a population is equal to 55. 
B)  The mean of a sample is equal to 55. 
C)  The mean of a population is greater than 55. 
D)  The mean of a sample is greater than 55. 
A)  The mean of a population is equal to 55. 
B)  The mean of a sample is equal to 55. 
C)  The mean of a population is greater than 55. 
D)  The mean of a sample is greater than 55.

Question 3

TABLE 9-5
A bank tests the null hypothesis that the mean age of the bank's mortgage holders is less than or equal to 45 years, versus an alternative that the mean age is greater than 45 years. They take a sample and calculate a p-value of 0.0202.
-Referring to Table 9-5, the bank can conclude that the mean age is greater than 45 at a significance level of α = 0.01.

Accepted Answer

A) True 
 B)False

Question 4

TABLE 9-7
A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new television advertisements featuring well-known entertainers and sports figures were launched. A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot." A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot." The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%. Company officials wanted to know if there is evidence that the series of television advertisements are less successful than the typical ad at a 0.01 level of significance.
-Referring to Table 9-7, state the null hypothesis for this study.

Accepted Answer

The answer of TABLE 9-7
A major home improvement store conducted...

Question 5

How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold:   = 52, S = 22. Suppose the test statistic does fall in the rejection region at α = 0.05. Which of the following decisions is correct?

Accepted Answer

A)  At α = 0.05, we do not reject H0. 
B)  At α = 0.05, we reject H0. 
C)  At α = 0.05, we accept H0. 
D)  At α = 0.10, we do not reject H0. 
A)  At α = 0.05, we do not reject H0. 
B)  At α = 0.05, we reject H0. 
C)  At α = 0.05, we accept H0. 
D)  At α = 0.10, we do not reject H0.

Question 6

TABLE 9-8
One of the biggest issues facing e-retailers is the ability to turn browsers into buyers. This is measured by the conversion rate, the percentage of browsers who buy something in their visit to a site. The conversion rate for a company's website was 10.1%. The website at the company was redesigned in an attempt to increase its conversion rates. A samples of 200 browsers at the redesigned site was selected. Suppose that 24 browsers made a purchase. The company officials would like to know if there is evidence of an increase in conversion rate at the 5% level of significance.
-Referring to Table 9-8, what critical value should the company officials use to determine the rejection region?

Accepted Answer

The answer of TABLE 9-8
One of the biggest issues facing...

Question 7

We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H0 : μ = 16 versus H1 : μ ≠ 16 at α = 0.025?

Accepted Answer

A)  Reject H0 in favor of H1. 
B)  Accept H0 in favor of H1. 
C)  Fail to reject H0 in favor of H1. 
D)  We cannot tell what our decision will be from the information given. 
A)  Reject H0 in favor of H1. 
B)  Accept H0 in favor of H1. 
C)  Fail to reject H0 in favor of H1. 
D)  We cannot tell what our decision will be from the information given.

Question 8

If a researcher accepts a true null hypothesis, she has made a ________ decision.

Accepted Answer

The answer of If a researcher accepts a true null...

Question 9

If a researcher rejects a true null hypothesis, she has made a ________ error.

Accepted Answer

The answer of If a researcher rejects a true null...

Question 10

An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625. If you were to test the null hypothesis that the daily mean revenue was $675 and decide not to reject the null hypothesis, what can you conclude?

Accepted Answer

A)  There is not enough evidence to conclude that the daily mean revenue was $675. 
B)  There is not enough evidence to conclude that the daily mean revenue was not $675. 
C)  There is enough evidence to conclude that the daily mean revenue was $675. 
D)  There is enough evidence to conclude that the daily mean revenue was not $675. 
A)  There is not enough evidence to conclude that the daily mean revenue was $675. 
B)  There is not enough evidence to conclude that the daily mean revenue was not $675. 
C)  There is enough evidence to conclude that the daily mean revenue was $675. 
D)  There is enough evidence to conclude that the daily mean revenue was not $675.

Question 11

A major DVD rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with DVD players. It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have DVD players. The rental chain's conclusion from the hypothesis test using a 3% level of significance is

Accepted Answer

A)  to open a new store. 
B)  not to open a new store. 
C)  to delay opening a new store until additional evidence is collected. 
D)  We cannot tell what the decision should be from the information given. 
A)  to open a new store. 
B)  not to open a new store. 
C)  to delay opening a new store until additional evidence is collected. 
D)  We cannot tell what the decision should be from the information given.

Question 12

You should report only the results of hypothesis tests that show statistical significance and omit those for which there is insufficient evidence in the findings.

Accepted Answer

A) True 
 B)False

Question 13

We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H0 : μ = 16 versus H1 : μ ≠ 16 at α = 0.10?

Accepted Answer

A)  Reject H0 in favor of H1. 
B)  Accept H0 in favor of H1. 
C)  Fail to reject H0 in favor of H1. 
D)  We cannot tell what our decision will be from the information given. 
A)  Reject H0 in favor of H1. 
B)  Accept H0 in favor of H1. 
C)  Fail to reject H0 in favor of H1. 
D)  We cannot tell what our decision will be from the information given.

Question 14

"What conclusions and interpretations can you reach from the results of the hypothesis test?" is not an important question to ask when performing a hypothesis test.

Accepted Answer

A) True 
 B)False

Question 15

TABLE 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume an mean of 257.3 W.
-Referring to Table 9-3, the appropriate hypotheses to determine if the manufacturer's claim appears reasonable are:

Accepted Answer

A) H0 : μ > 250 versus H1 : μ ≠ 250 B) H0 : μ ≥ 250 versus H1 : μ 0 : μ ≤ 250 versus H1 : μ > 250 D) H0 : μ ≥ 257.3 versus H1 : μ < 257.3 A) H0 : μ > 250 versus H1 : μ ≠ 250 B) H0 : μ ≥ 250 versus H1 : μ 0 : μ ≤ 250 versus H1 : μ > 250 D) H0 : μ ≥ 257.3 versus H1 : μ < 257.3

Question 16

TABLE 9-7
A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new television advertisements featuring well-known entertainers and sports figures were launched. A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot." A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot." The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%. Company officials wanted to know if there is evidence that the series of television advertisements are less successful than the typical ad at a 0.01 level of significance.
-Referring to Table 9-7, the company officials can conclude that there is sufficient evidence to show that the series of television advertisements are less successful than the typical ad using a level of significance of 0.05.

Accepted Answer

A) True 
 B)False

Question 17

In a hypothesis test, it is irrelevant whether the test is a one-tail or two-tail test.

Accepted Answer

A) True 
 B)False

Question 18

TABLE 9-6
The quality control engineer for a furniture manufacturer is interested in the mean amount of force necessary to produce cracks in stressed oak furniture. She performs a two-tail test of the null hypothesis that the mean for the stressed oak furniture is 650. The calculated value of the Z test statistic is a positive number that leads to a p-value of 0.080 for the test.
-Referring to Table 9-6, if the test is performed with a level of significance of 0.05, the null hypothesis would be rejected.

Accepted Answer

A) True 
 B)False

Question 19

You know that the probability of committing a Type II error (β) is 5%, you can tell that the power of the test is

Accepted Answer

A)  2.5%. 
B)  95%. 
C)  97.5%. 
D)  unknown. 
A)  2.5%. 
B)  95%. 
C)  97.5%. 
D)  unknown.

Question 20

The larger is the p-value, the more likely one is to reject the null hypothesis.

Accepted Answer

A) True 
 B)False

In testing a hypothesis, you should always raise the question on the purpose of the study, survey or experiment.

Which of the following would be an appropriate alternative hypothesis?

We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.025?

If a researcher accepts a true null hypothesis, she has made a ________ decision.

If a researcher rejects a true null hypothesis, she has made a ________ error.

You should report only the results of hypothesis tests that show statistical significance and omit those for which there is insufficient evidence in the findings.

We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.10?

"What conclusions and interpretations can you reach from the results of the hypothesis test?" is not an important question to ask when performing a hypothesis test.

In a hypothesis test, it is irrelevant whether the test is a one-tail or two-tail test.

You know that the probability of committing a Type II error (β) is 5%, you can tell that the power of the test is

The larger is the p-value, the more likely one is to reject the null hypothesis.

Instruction and Data Collection

Presenting Data in Tables and Charts

Numerical Descriptive Measures

Basic Probability

Some Important Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Sampling and Sampling Distributions

Confidence Interval Estimation

Two-Sample Tests

Analysis of Variance

Chi-Square Tests and Nonparametric Tests

Simple Linear Regression

Introduction to Multiple Regression

Multiple Regression Model Building

Time-Series Analysis and Index Numbers

Statistical Applications in Quality Management

Data Analysis Overview

Filters

Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests

In testing a hypothesis, you should always raise the question on the purpose of the study, survey or experiment.

Which of the following would be an appropriate alternative hypothesis?

We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H0 : μ = 16 versus H1 : μ ≠ 16 at α = 0.025?

If a researcher accepts a true null hypothesis, she has made a ________ decision.

If a researcher rejects a true null hypothesis, she has made a ________ error.

You should report only the results of hypothesis tests that show statistical significance and omit those for which there is insufficient evidence in the findings.

We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H0 : μ = 16 versus H1 : μ ≠ 16 at α = 0.10?

"What conclusions and interpretations can you reach from the results of the hypothesis test?" is not an important question to ask when performing a hypothesis test.

In a hypothesis test, it is irrelevant whether the test is a one-tail or two-tail test.

You know that the probability of committing a Type II error (β) is 5%, you can tell that the power of the test is

The larger is the p-value, the more likely one is to reject the null hypothesis.

Instruction and Data Collection

Presenting Data in Tables and Charts

Numerical Descriptive Measures

Basic Probability

Some Important Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Sampling and Sampling Distributions

Confidence Interval Estimation

Two-Sample Tests

Analysis of Variance

Chi-Square Tests and Nonparametric Tests

Simple Linear Regression

Introduction to Multiple Regression

Multiple Regression Model Building

Time-Series Analysis and Index Numbers

Statistical Applications in Quality Management

Data Analysis Overview

Filters

We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.025?

We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.10?