Question 1

In a criminal trial, a Type II error is made when:

Accepted Answer

A)  a guilty defendant is acquitted. 
B)  an innocent person is convicted. 
C)  a guilty defendant is convicted. 
D)  an innocent person is acquitted. 
A)  a guilty defendant is acquitted. 
B)  an innocent person is convicted. 
C)  a guilty defendant is convicted. 
D)  an innocent person is acquitted. A

Question 2

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

Accepted Answer

A) True 
 B)False  False

Question 3

The p-value of a test is the:

Accepted Answer

A)  smallest $\alpha$at which the null hypothesis can be rejected. 
B)  largest $\alpha$at which the null hypothesis can be rejected. 
C)  smallest $\alpha$ at which the null hypothesis cannot be rejected. 
D)  largest $\alpha$ at which the null hypothesis cannot be rejected. 
A)  smallest $\alpha$at which the null hypothesis can be rejected. 
B)  largest $\alpha$at which the null hypothesis can be rejected. 
C)  smallest $\alpha$ at which the null hypothesis cannot be rejected. 
D)  largest $\alpha$ at which the null hypothesis cannot be rejected. A

Question 4

If your p-value is greater than 0.900 you should reject H0 at the 0.10 level.

Accepted Answer

A) True 
 B)False

Question 5

After you set up the hypotheses and collect your data, you calculate the statistic that serves as the criterion for making your decision. This number is called the ____________________ statistic.

Accepted Answer

The answer of After you set up the hypotheses and...

Question 6

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: F$\mu$> 40, the following information came from your random sample of viewers:   = 42 minutes, n = 25. Assume $\sigma$ = 5.5, and $\alpha$ = 0.10.
-Set up the rejection region.

Accepted Answer

z > z<sub>

Question 7

A null hypothesis is a statement about the value of a population parameter.

Accepted Answer

A) True 
 B)False

Question 8

Using a confidence interval when conducting a two-tail test for $\mu$, we do not reject H0 if the hypothesized value for $\mu$0:

Accepted Answer

A)  is to the left of the lower confidence limit (LCL). 
B)  is to the right of the upper confidence limit (UCL). 
C)  falls between the LCL and UCL. 
D)  falls in the rejection region. 
A)  is to the left of the lower confidence limit (LCL). 
B)  is to the right of the upper confidence limit (UCL). 
C)  falls between the LCL and UCL. 
D)  falls in the rejection region.

Question 9

The probability of making a Type I error and the level of significance are the same.

Accepted Answer

A) True 
 B)False

Question 10

In a two-tail test for the population mean, if the null hypothesis is rejected when the alternative hypothesis is true:

Accepted Answer

A)  a Type I error is committed. 
B)  a Type II error is committed. 
C)  a correct decision is made. 
D)  a one-tail test should be used instead of a two-tail test. 
A)  a Type I error is committed. 
B)  a Type II error is committed. 
C)  a correct decision is made. 
D)  a one-tail test should be used instead of a two-tail test.

Question 11

It is possible to commit a Type I error and a Type II error at the same time.

Accepted Answer

A) True 
 B)False

Question 12

If we do not 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 13

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: F$\mu$> 40, the following information came from your random sample of viewers:   = 42 minutes, n = 25. Assume $\sigma$ = 5.5, and $\alpha$ = 0.10.
-Interpret the result.

Accepted Answer

Reject H₀ and concl

Question 14

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

Accepted Answer

A) True 
 B)False

Question 15

The ____________________ of a test is a measure of its performance.

Accepted Answer

The answer of The ____________________ of a test is a...

Question 16

A(n) ____________________ characteristic curve plots the probability of a Type II error for various alternative values of ____________________.

Accepted Answer

The answer of A(n) ____________________ characteristic curve plots the probability...

Question 17

The probability of a test statistic falling in the rejection region is equal to the value of ____________________.

Accepted Answer

@#LAT-DLM&
the signi

Question 18

Rechargeable Batteries: A researcher wants to study the average lifetime of a certain brand of rechargeable batteries (in hours). In testing the hypotheses, HS1U1B10S1U1B0: $\mu$ = 950 hours vs. HS1U1B11S1U1B0: $\mu$ $\neq$950 hours, a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours.
-Recalculate $\beta$ if n is increased from 25 to 40.

Accepted Answer

@#LAT-DLM& = P(897.98 < @#IMG-DLM& < 100

Question 19

In testing the hypotheses H0: $\mu$=50 vs. H1: F$\mu$ $\neq$ 50, the following information is known: n = 64,   $\sigma$ = 53.5, and $\sigma$= 10. The standardized test statistic z equals:

Accepted Answer

A)  1.96 
B)  -2.80 
C)  2.80 
D)  -1.96 
A)  1.96 
B)  -2.80 
C)  2.80 
D)  -1.96

Question 20

A Type I error is represented by $\alpha$; it is the probability of rejecting a true null hypothesis.

Accepted Answer

A) True 
 B)False

In a criminal trial, a Type II error is made when:

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

The p-value of a test is the:

If your p-value is greater than 0.900 you should reject H₀ at the 0.10 level.

After you set up the hypotheses and collect your data, you calculate the statistic that serves as the criterion for making your decision. This number is called the ____________________ statistic.

A null hypothesis is a statement about the value of a population parameter.

Using a confidence interval when conducting a two-tail test for $\mu$ , we do not reject H₀ if the hypothesized value for $\mu$ 0:

The probability of making a Type I error and the level of significance are the same.

In a two-tail test for the population mean, if the null hypothesis is rejected when the alternative hypothesis is true:

It is possible to commit a Type I error and a Type II error at the same time.

If we do not reject the null hypothesis, we conclude that:

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

The ____________________ of a test is a measure of its performance.

A(n) characteristic curve plots the probability of a Type II error for various alternative values of .

The probability of a test statistic falling in the rejection region is equal to the value of ____________________.

A Type I error is represented by $\alpha$ ; it is the probability of rejecting a true null hypothesis.

What Is Statistics

Graphical and Tabular Descriptive Techniques

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, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Exam 10: Introduction to Hypothesis Testing

In a criminal trial, a Type II error is made when:

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

The p-value of a test is the:

If your p-value is greater than 0.900 you should reject H0 at the 0.10 level.

After you set up the hypotheses and collect your data, you calculate the statistic that serves as the criterion for making your decision. This number is called the ____________________ statistic.

A null hypothesis is a statement about the value of a population parameter.

Using a confidence interval when conducting a two-tail test for μ\muμ , we do not reject H0 if the hypothesized value for μ\muμ 0:

The probability of making a Type I error and the level of significance are the same.

In a two-tail test for the population mean, if the null hypothesis is rejected when the alternative hypothesis is true:

It is possible to commit a Type I error and a Type II error at the same time.

If we do not reject the null hypothesis, we conclude that:

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

The ____________________ of a test is a measure of its performance.

A(n) ____________________ characteristic curve plots the probability of a Type II error for various alternative values of ____________________.

The probability of a test statistic falling in the rejection region is equal to the value of ____________________.

In testing the hypotheses H0: μ\muμ =50 vs. H1: F μ\muμ ≠\neq= 50, the following information is known: n = 64, σ\sigmaσ = 53.5, and σ\sigmaσ = 10. The standardized test statistic z equals:

A Type I error is represented by α\alphaα ; it is the probability of rejecting a true null hypothesis.

What Is Statistics

Graphical and Tabular Descriptive Techniques

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, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

If your p-value is greater than 0.900 you should reject H₀ at the 0.10 level.

Using a confidence interval when conducting a two-tail test for $\mu$ , we do not reject H₀ if the hypothesized value for $\mu$ 0:

A(n) characteristic curve plots the probability of a Type II error for various alternative values of .

A Type I error is represented by $\alpha$ ; it is the probability of rejecting a true null hypothesis.