Question 1

In hypothesis testing, the decision to "accept" the null hypothesis is the same as the decision to "fail to reject" the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 2

If we reject the null hypothesis   , we conclude that there is not enough statistical evidence to infer that the population proportions are equal.

Accepted Answer

A) True 
 B)False

Question 3

Which of these terms is a proposition which is tentatively advanced as being possibly true?

Accepted Answer

A)  an acceptance region 
B)  a confidence level 
C)  a hypothesis 
D)  a p-value 
A)  an acceptance region 
B)  a confidence level 
C)  a hypothesis 
D)  a p-value

Question 4

In testing   vs.   using a significance level equal to 0.05, the critical value that will be used to conduct the test is z = 1.645.

Accepted Answer

A) True 
 B)False

Question 5

Suppose that we reject the null hypothesis   at the 0.05 level of significance. For which of the following   -values do we also reject the null hypothesis?

Accepted Answer

A)  0.02 
B)  0.04 
C)  0.06 
A)  0.02 
B)  0.04 
C)  0.06

Question 6

In a one-tailed test for the population proportion, if the null hypothesis is not rejected when the alternative hypothesis is false, a Type II error is committed.

Accepted Answer

A) True 
 B)False

Question 7

If the null hypothesis, H0, cannot be corroborated in a hypothesis test,   is tentatively embraced, which calls for action; thus, one can think of   as the action hypothesis.

Accepted Answer

A) True 
 B)False

Question 8

In a hypothesis test, if the null hypothesis has been rejected, then it is impossible that a Type II error has been committed.

Accepted Answer

A) True 
 B)False

Question 9

A sample of size 100 selected from one population has 60 successes, and a sample of size 150 selected from a second population has 95 successes. In this case, what is the test statistic for testing the equality of the population proportions?

Accepted Answer

A)  -0.5319 
B)  -0.419 
C)  0.2702 
D)  0.7293 
A)  -0.5319 
B)  -0.419 
C)  0.2702 
D)  0.7293

Question 10

As the significance level $\alpha$increases, the probability of a Type I error increases and the size of the rejection region increases.

Accepted Answer

A) True 
 B)False

Question 11

Which of the following is a required condition for using the normal approximation to the binomial in testing the difference between two population proportions?
A) 
B) 
C) 
D)

Accepted Answer

To use the normal approximation to the b

Question 12

In hypothesis testing, to what does the term "critical value" refer?

Accepted Answer

A)  the probability, 1 -, of avoiding the Type I error of erroneously rejecting a null hypothesis that is in fact true 
B)  the value of a test statistic that divides all possible values into an acceptance region and a rejection region 
C)  any sample result that leads to the continued acceptance of the null hypothesis because it has a high probability of occurring when the null hypothesis is true 
D)  the probability, 1 -, of avoiding the Type II error of erroneously accepting a null hypothesis that is in fact false 
A)  the probability, 1 -, of avoiding the Type I error of erroneously rejecting a null hypothesis that is in fact true 
B)  the value of a test statistic that divides all possible values into an acceptance region and a rejection region 
C)  any sample result that leads to the continued acceptance of the null hypothesis because it has a high probability of occurring when the null hypothesis is true 
D)  the probability, 1 -, of avoiding the Type II error of erroneously accepting a null hypothesis that is in fact false

Question 13

Suppose in testing a hypothesis about a proportion, the p-value is computed to be 0.027. The null hypothesis should be rejected if the chosen level of significance is 0.01.

Accepted Answer

A) True 
 B)False

Question 14

A two-tailed hypothesis test of the population proportion takes the form   vs.

Accepted Answer

A) True 
 B)False

Question 15

In testing   vs.   the level of significance must be twice as large as when testing   vs.

Accepted Answer

A) True 
 B)False

Question 16

A two-tail test is a test in which a null hypothesis can be rejected by an extreme result occurring in only one direction.

Accepted Answer

A) True 
 B)False

Question 17

In a two-tailed test for the population proportion, if the null hypothesis is rejected when the alternative hypothesis is false, a Type I error is committed.

Accepted Answer

A) True 
 B)False

Question 18

The null hypothesis is a vehicle for making startling new claims that contradict the conventional wisdom, that assert "guilt without a reasonable doubt."

Accepted Answer

A) True 
 B)False

Question 19

In testing the null hypothesis   , if   is false, which of the following errors could the test lead to?

Accepted Answer

A)  a Type I error 
B)  a Type II error 
C)  a Type III error 
D)  a Type IV error 
A)  a Type I error 
B)  a Type II error 
C)  a Type III error 
D)  a Type IV error

Question 20

In constructing a confidence interval estimate for the difference between two population proportions, what is the most appropriate option?

Accepted Answer

A)  Pool the population proportions when the populations are normally distributed. 
B)  Pool the population proportions when the population means are equal. 
C)  Pool the population proportions when they are equal. 
D)  Never pool the population proportions to construct a confidence interval for. 
A)  Pool the population proportions when the populations are normally distributed. 
B)  Pool the population proportions when the population means are equal. 
C)  Pool the population proportions when they are equal. 
D)  Never pool the population proportions to construct a confidence interval for.

Exam 9: A: large-Sample Tests of Hypotheses

In hypothesis testing, the decision to "accept" the null hypothesis is the same as the decision to "fail to reject" the null hypothesis.

If we reject the null hypothesis , we conclude that there is not enough statistical evidence to infer that the population proportions are equal.

Which of these terms is a proposition which is tentatively advanced as being possibly true?

In testing vs. using a significance level equal to 0.05, the critical value that will be used to conduct the test is z = 1.645.

Suppose that we reject the null hypothesis at the 0.05 level of significance. For which of the following -values do we also reject the null hypothesis?

In a one-tailed test for the population proportion, if the null hypothesis is not rejected when the alternative hypothesis is false, a Type II error is committed.

If the null hypothesis, H0, cannot be corroborated in a hypothesis test, is tentatively embraced, which calls for action; thus, one can think of as the action hypothesis.

In a hypothesis test, if the null hypothesis has been rejected, then it is impossible that a Type II error has been committed.

A sample of size 100 selected from one population has 60 successes, and a sample of size 150 selected from a second population has 95 successes. In this case, what is the test statistic for testing the equality of the population proportions?

As the significance level α\alphaα increases, the probability of a Type I error increases and the size of the rejection region increases.

Which of the following is a required condition for using the normal approximation to the binomial in testing the difference between two population proportions? A) B) C) D)

In hypothesis testing, to what does the term "critical value" refer?

Suppose in testing a hypothesis about a proportion, the p-value is computed to be 0.027. The null hypothesis should be rejected if the chosen level of significance is 0.01.

A two-tailed hypothesis test of the population proportion takes the form vs.

In testing vs. the level of significance must be twice as large as when testing vs.

A two-tail test is a test in which a null hypothesis can be rejected by an extreme result occurring in only one direction.

In a two-tailed test for the population proportion, if the null hypothesis is rejected when the alternative hypothesis is false, a Type I error is committed.

The null hypothesis is a vehicle for making startling new claims that contradict the conventional wisdom, that assert "guilt without a reasonable doubt."

In testing the null hypothesis , if is false, which of the following errors could the test lead to?

In constructing a confidence interval estimate for the difference between two population proportions, what is the most appropriate option?

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

A: probability and Probability Distributions

B: probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

B: large-Sample Tests of Hypotheses

A: Inference From Small Samples

B: Inference From Small Samples

A: The Analysis of Variance

B: The Analysis of Variance

A: linear Regression and Correlation

B: linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

A:nonparametric Statistics

B:nonparametric Statistics

Filters

If the null hypothesis, H₀, cannot be corroborated in a hypothesis test, is tentatively embraced, which calls for action; thus, one can think of as the action hypothesis.

As the significance level $\alpha$ increases, the probability of a Type I error increases and the size of the rejection region increases.