Question 1

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 2

A Type II error is defined as:

Accepted Answer

A)  rejecting a true null hypothesis. 
B)  rejecting a false null hypothesis. 
C)  not rejecting a true null hypothesis. 
D)  not rejecting a false null hypothesis. 
A)  rejecting a true null hypothesis. 
B)  rejecting a false null hypothesis. 
C)  not rejecting a true null hypothesis. 
D)  not rejecting a false null hypothesis.

Question 3

If a hypothesis is not rejected at the 0.10 level of significance, it:

Accepted Answer

A)  must be rejected at the 0.05 level. 
B)  may be rejected at the 0.05 level. 
C)  will not be rejected at the 0.05 level. 
D)  must be rejected at the 0.025 level. 
A)  must be rejected at the 0.05 level. 
B)  may be rejected at the 0.05 level. 
C)  will not be rejected at the 0.05 level. 
D)  must be rejected at the 0.025 level.

Question 4

We have created a 95% confidence interval for $\mu$ with the result (8, 13).What conclusion will we make if we test H0: $\mu$=15 vs.H1: $\mu$$\neq$ 15 at $\alpha$ = 0.05?

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 5

The hypothesis testing procedure begins with the assumption that the null hypothesis is ____________________.

Accepted Answer

The answer of The hypothesis testing procedure begins with the...

Question 6

A p-value is a probability, and must be between 0 and 1.

Accepted Answer

A) True 
 B)False

Question 7

The owner of a local Jazz Club has recently surveyed a random sample of n = 200 customers of the club.She would now like to determine whether or not the mean age of her customers is over 30.If so, she plans to alter the entertainment to appeal to an older crowd.If not, no entertainment changes will be made.The appropriate hypotheses to test are:

Accepted Answer

A)  H0: $\mu$=30 vs.H1:$\mu$0:$\mu$=30 vs.H1:$\mu$ 0:= 30 vs.H1:0:= 30 vs.H1:> 30. 
A)  H0: $\mu$=30 vs.H1:$\mu$0:$\mu$=30 vs.H1:$\mu$ 0:= 30 vs.H1:0:= 30 vs.H1:> 30.

Question 8

In a criminal trial, a Type II error is made when an innocent person is acquitted.

Accepted Answer

A) True 
 B)False

Question 9

If we do not reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 10

Marathon Runners
A researcher wants to study the average miles run per day for marathon runners.In testing the hypotheses: HS1U1B10S1U1B0: $\mu$ = 25 miles vs.HS1U1B11S1U1B0:$\mu$ $\neq$25 miles, a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10, produced a mean of 22.8 miles weekly.
-{Marathon Runners Narrative} Develop a 95% confidence interval estimate of the population mean.

Accepted Answer

The answer of Marathon Runners
A researcher wants to study the...

Question 11

Increasing the probability of a Type I error will increase the probability of a Type II error.

Accepted Answer

A) True 
 B)False

Question 12

The p-value of a test is the smallest $\alpha$at which the null hypothesis can be rejected.

Accepted Answer

A) True 
 B)False

Question 13

In a two-tail test for the population mean, the null hypothesis will be rejected at $\alpha$level of significance if the value of the standardized test statistic z is such that:

Accepted Answer

A)  z > z$\alpha$ 
B)  z  z$\alpha$ / 2 
A)  z > z$\alpha$ 
B)  z  z$\alpha$ / 2

Question 14

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 15

The rejection region for testing H0: $\mu$ =80 vs.H1: $\mu$<80, at the 0.10 level of significance is:

Accepted Answer

A) z > 1.96 B) z 1.28 D) z < -1.28 A) z > 1.96 B) z 1.28 D) z < -1.28

Question 16

Production Filling
A production filling operation has a historical standard deviation of 6 ounces.When in proper adjustment, the mean filling weight for the production process is 50 ounces.A quality control inspector periodically selects at random 36 containers and uses the sample mean filling weight to see if the process is in proper adjustment.
-{Production Filling Narrative} Develop a 95% confidence interval and use it to test the hypothesis.

Accepted Answer

LCL = 46.64, and UCL = 50.56.S

Question 17

A Type I error occurs when we:

Accepted Answer

A)  reject a false null hypothesis. 
B)  reject a true null hypothesis. 
C)  don't reject a false null hypothesis. 
D)  don't reject a true null hypothesis. 
A)  reject a false null hypothesis. 
B)  reject a true null hypothesis. 
C)  don't reject a false null hypothesis. 
D)  don't reject a true null hypothesis.

Question 18

There is a direct relationship between the power of a test and the probability of a Type II error.

Accepted Answer

A) True 
 B)False

Question 19

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

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 20

A professor of linguistics refutes the claim that the average student spends 3 hours studying for the midterm exam.She thinks they spend more time than that.Which hypotheses are used to test the claim?

Accepted Answer

A) H0: $\mu$ =3 vs.H1: $\mu$>3 B) H0: $\mu$= 3 vs.H1: $\mu$$\neq$ 3 C) H0: $\mu$ $\neq$ 3 vs.H1: $\mu$= 3 D) H0: $\mu$ =3 vs.H1: $\mu$<3 A) H0: $\mu$ =3 vs.H1: $\mu$>3 B) H0: $\mu$= 3 vs.H1: $\mu$$\neq$ 3 C) H0: $\mu$ $\neq$ 3 vs.H1: $\mu$= 3 D) H0: $\mu$ =3 vs.H1: $\mu$<3

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

A Type II error is defined as:

If a hypothesis is not rejected at the 0.10 level of significance, it:

We have created a 95% confidence interval for $\mu$ with the result (8, 13).What conclusion will we make if we test H₀: $\mu$ =15 vs.H₁: $\mu$ $\neq$ 15 at $\alpha$ = 0.05?

The hypothesis testing procedure begins with the assumption that the null hypothesis is ____________________.

A p-value is a probability, and must be between 0 and 1.

In a criminal trial, a Type II error is made when an innocent person is acquitted.

If we do not reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the null hypothesis is true.

Increasing the probability of a Type I error will increase the probability of a Type II error.

The p-value of a test is the smallest $\alpha$ at which the null hypothesis can be rejected.

In a two-tail test for the population mean, the null hypothesis will be rejected at $\alpha$ level of significance if the value of the standardized test statistic z is such that:

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

The rejection region for testing H₀: $\mu$ =80 vs.H₁: $\mu$ <80, at the 0.10 level of significance is:

A Type I error occurs when we:

There is a direct relationship between the power of a test and the probability of a Type II error.

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

A professor of linguistics refutes the claim that the average student spends 3 hours studying for the midterm exam.She thinks they spend more time than that.Which hypotheses are used to test the claim?

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

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

A Type II error is defined as:

If a hypothesis is not rejected at the 0.10 level of significance, it:

We have created a 95% confidence interval for μ\muμ with the result (8, 13).What conclusion will we make if we test H0: μ\muμ =15 vs.H1: μ\muμ≠\neq= 15 at α\alphaα = 0.05?

The hypothesis testing procedure begins with the assumption that the null hypothesis is ____________________.

A p-value is a probability, and must be between 0 and 1.

In a criminal trial, a Type II error is made when an innocent person is acquitted.

If we do not reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the null hypothesis is true.

Increasing the probability of a Type I error will increase the probability of a Type II error.

The p-value of a test is the smallest α\alphaα at which the null hypothesis can be rejected.

In a two-tail test for the population mean, the null hypothesis will be rejected at α\alphaα level of significance if the value of the standardized test statistic z is such that:

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

The rejection region for testing H0: μ\muμ =80 vs.H1: μ\muμ <80, at the 0.10 level of significance is:

A Type I error occurs when we:

There is a direct relationship between the power of a test and the probability of a Type II error.

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 :

A professor of linguistics refutes the claim that the average student spends 3 hours studying for the midterm exam.She thinks they spend more time than that.Which hypotheses are used to test the claim?

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

We have created a 95% confidence interval for $\mu$ with the result (8, 13).What conclusion will we make if we test H₀: $\mu$ =15 vs.H₁: $\mu$ $\neq$ 15 at $\alpha$ = 0.05?

The p-value of a test is the smallest $\alpha$ at which the null hypothesis can be rejected.

In a two-tail test for the population mean, the null hypothesis will be rejected at $\alpha$ level of significance if the value of the standardized test statistic z is such that:

The rejection region for testing H₀: $\mu$ =80 vs.H₁: $\mu$ <80, at the 0.10 level of significance is:

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