Question 1

If we reject the null hypothesis when it is false, then we have committed:

Accepted Answer

A)  a Type II error. 
B)  a Type I error. 
C)  both a Type I error and a Type II error. 
D)  neither a Type I error nor a Type II error. 
A)  a Type II error. 
B)  a Type I error. 
C)  both a Type I error and a Type II error. 
D)  neither a Type I error nor a Type II error.

Question 2

LSAT Scores
The Admissions officer for the graduate programs at the University of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1,300.An accepted standard deviation for LSAT scores is 125.A random sample of 25 scores had an average of 1,375.
-With the following p-values, would you reject or fail to reject the null hypothesis? Comment on the statistical significance of each result.(Assume you normally reject H0 at level 0.08.)
a.
p-value = 0.0025
b.
p-value = 0.0328
c.
p-value = 0.0795
d.
p-value = 0.1940

Accepted Answer

a.
There is overwhelming evidence to rej

Question 3

As the alternative value of $\mu$increases, so does the power of the test.

Accepted Answer

A) True 
 B)False

Question 4

For a given level of significance, if the sample size is increased, the power of the test will ____________________.

Accepted Answer

The answer of For a given level of significance, if...

Question 5

In testing the hypotheses H0: $\mu$ = 75 vs.H1: $\mu$ < 75, if the value of the test statistic z equals -2.42, then the p-value is:

Accepted Answer

A)  0.5078 
B)  2.4200 
C)  0.9922 
D)  0.0078 
A)  0.5078 
B)  2.4200 
C)  0.9922 
D)  0.0078

Question 6

The hypothesis of most interest to the researcher is:

Accepted Answer

A)  the alternative hypothesis. 
B)  the null hypothesis. 
C)  both hypotheses are of equal interest. 
D)  Neither hypothesis is of interest. 
A)  the alternative hypothesis. 
B)  the null hypothesis. 
C)  both hypotheses are of equal interest. 
D)  Neither hypothesis is of interest.

Question 7

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the rejection region method.The other approach is the ____________________ method.

Accepted Answer

The answer of There are two approaches to making a...

Question 8

If we reject the null hypothesis, we conclude that:

Accepted Answer

A)  there is enough statistical evidence to infer that the alternative hypothesis is true. 
B)  there is not enough statistical evidence to infer that the alternative hypothesis is true. 
C)  there is enough statistical evidence to infer that the null hypothesis is true. 
D)  there is not enough statistical evidence to infer that the null hypothesis is true. 
A)  there is enough statistical evidence to infer that the alternative hypothesis is true. 
B)  there is not enough statistical evidence to infer that the alternative hypothesis is true. 
C)  there is enough statistical evidence to infer that the null hypothesis is true. 
D)  there is not enough statistical evidence to infer that the null hypothesis is true.

Question 9

The numerical quantity computed from the data that is used in deciding whether to reject H0 is the:

Accepted Answer

A)  significance level. 
B)  critical value. 
C)  test statistic. 
D)  parameter. 
A)  significance level. 
B)  critical value. 
C)  test statistic. 
D)  parameter.

Question 10

If a researcher fails to reject a false null hypothesis he has made a(n) ____________________ error.

Accepted Answer

The answer of If a researcher fails to reject a...

Question 11

A social researcher claims that the average adult listens to the radio less than 26 hours per week.He collects data on 25 individuals' radio listening habits and finds that the mean number of hours that the 25 people spent listening to the radio was 22.4 hours.If the population standard deviation is known to be eight hours, can we conclude at the 1% significance level that he is right?

Accepted Answer

H₀: @#LAT-DLM&= 26 vs.H₁: @#LAT-DLM&< 26 Test statis

Question 12

We have created a 95% confidence interval for $\mu$ with the results (10, 25).What conclusion will we make if we test H0: $\mu$ = 26 vs.H1: $\mu$$\neq$ 26 at $\alpha$ = 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 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 from the information given.

Question 13

You reject H0 if the p-value of your hypothesis is ____________________ than the significance level.

Accepted Answer

Question 14

For a given level of significance, if the sample size is increased, the probability of committing a Type I error will decrease.

Accepted Answer

A) True 
 B)False

Question 15

Watching the News
A researcher claims viewers spend an average of 40 minutes per day watching the news.You think the average is higher than that.In testing your hypotheses HS1U1B10S1U1B0: $\mu$ = 40 vs.HS1U1B11S1U1B0:$\mu$ > 40, the following information came from your random sample of viewers:   = 42 minutes, n = 25.Assume$\sigma$ = 5.5, and $\alpha$= 0.10.
-{Watching the News Narrative} Determine the p-value.

Accepted Answer

The answer of Watching the News
A researcher claims viewers spend...

Question 16

A Type II error is committed if we make:

Accepted Answer

A)  a correct decision when the null hypothesis is false. 
B)  a correct decision when the null hypothesis is true. 
C)  an incorrect decision when the null hypothesis is false. 
D)  an incorrect decision when the null hypothesis is true. 
A)  a correct decision when the null hypothesis is false. 
B)  a correct decision when the null hypothesis is true. 
C)  an incorrect decision when the null hypothesis is false. 
D)  an incorrect decision when the null hypothesis is true.

Question 17

Statisticians can translate p-values into several descriptive terms.Suppose you typically reject H0 at level 0.05.Which of the following statements is correct?

Accepted Answer

A)  If the p-value  0.10, there is no evidence to infer that the alternative hypothesis is true. 
D)  All of these choices are true. 
A)  If the p-value  0.10, there is no evidence to infer that the alternative hypothesis is true. 
D)  All of these choices are true.

Question 18

If a researcher rejects a false null hypothesis, she has made a(n) ____________________ decision.

Accepted Answer

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

Question 19

By ____________________ the significance level, you increase the probability of a Type II error.

Accepted Answer

The answer of By ____________________ the significance level, you increase...

Question 20

Explain the difference between accepting H0 and failing to reject H0.

Accepted Answer

The basis of making a decision in a hypo

If we reject the null hypothesis when it is false, then we have committed:

As the alternative value of $\mu$ increases, so does the power of the test.

For a given level of significance, if the sample size is increased, the power of the test will ____________________.

In testing the hypotheses H₀: $\mu$ = 75 vs.H₁: $\mu$ < 75, if the value of the test statistic z equals -2.42, then the p-value is:

The hypothesis of most interest to the researcher is:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the rejection region method.The other approach is the ____________________ method.

If we reject the null hypothesis, we conclude that:

The numerical quantity computed from the data that is used in deciding whether to reject H₀ is the:

If a researcher fails to reject a false null hypothesis he has made a(n) ____________________ error.

We have created a 95% confidence interval for $\mu$ with the results (10, 25).What conclusion will we make if we test H₀: $\mu$ = 26 vs.H₁: $\mu$ $\neq$ 26 at $\alpha$ = 0.025?

You reject H₀ if the p-value of your hypothesis is ____________________ than the significance level.

For a given level of significance, if the sample size is increased, the probability of committing a Type I error will decrease.

A Type II error is committed if we make:

Statisticians can translate p-values into several descriptive terms.Suppose you typically reject H₀ at level 0.05.Which of the following statements is correct?

If a researcher rejects a false null hypothesis, she has made a(n) ____________________ decision.

By ____________________ the significance level, you increase the probability of a Type II error.

Explain the difference between accepting H₀ and failing to reject H₀.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 11: Introduction to Hypothesis Testing

If we reject the null hypothesis when it is false, then we have committed:

As the alternative value of μ\muμ increases, so does the power of the test.

For a given level of significance, if the sample size is increased, the power of the test will ____________________.

In testing the hypotheses H0: μ\muμ = 75 vs.H1: μ\muμ < 75, if the value of the test statistic z equals -2.42, then the p-value is:

The hypothesis of most interest to the researcher is:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the rejection region method.The other approach is the ____________________ method.

If we reject the null hypothesis, we conclude that:

The numerical quantity computed from the data that is used in deciding whether to reject H0 is the:

If a researcher fails to reject a false null hypothesis he has made a(n) ____________________ error.

We have created a 95% confidence interval for μ\muμ with the results (10, 25).What conclusion will we make if we test H0: μ\muμ = 26 vs.H1: μ\muμ≠\neq= 26 at α\alphaα = 0.025?

You reject H0 if the p-value of your hypothesis is ____________________ than the significance level.

For a given level of significance, if the sample size is increased, the probability of committing a Type I error will decrease.

A Type II error is committed if we make:

Statisticians can translate p-values into several descriptive terms.Suppose you typically reject H0 at level 0.05.Which of the following statements is correct?

If a researcher rejects a false null hypothesis, she has made a(n) ____________________ decision.

By ____________________ the significance level, you increase the probability of a Type II error.

Explain the difference between accepting H0 and failing to reject H0.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

As the alternative value of $\mu$ increases, so does the power of the test.

In testing the hypotheses H₀: $\mu$ = 75 vs.H₁: $\mu$ < 75, if the value of the test statistic z equals -2.42, then the p-value is:

The numerical quantity computed from the data that is used in deciding whether to reject H₀ is the:

We have created a 95% confidence interval for $\mu$ with the results (10, 25).What conclusion will we make if we test H₀: $\mu$ = 26 vs.H₁: $\mu$ $\neq$ 26 at $\alpha$ = 0.025?

You reject H₀ if the p-value of your hypothesis is ____________________ than the significance level.

Statisticians can translate p-values into several descriptive terms.Suppose you typically reject H₀ at level 0.05.Which of the following statements is correct?

Explain the difference between accepting H₀ and failing to reject H₀.