Question 1

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 2

If the p value is less than $\alpha$in a two-tail test:

Accepted Answer

A)  the null hypothesis should not be rejected. 
B)  the null hypothesis should be rejected. 
C)  a one-tail test should be used. 
D)  No conclusion should be reached. 
A)  the null hypothesis should not be rejected. 
B)  the null hypothesis should be rejected. 
C)  a one-tail test should be used. 
D)  No conclusion should be reached.

Question 3

A Type II error is represented by$\beta$; it is the probability of failing to reject a false null hypothesis.

Accepted Answer

A) True 
 B)False

Question 4

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

Accepted Answer

A) True 
 B)False

Question 5

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.
-Calculate the value of the test statistic and set up the rejection region at the 0.025 level. What is your conclusion?

Accepted Answer

Test statistic: z = 3.0
Rejection region

Question 6

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 7

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if:

Accepted Answer

A)  a two-tail test for $\mu$is used. 
B)  a one-tail test for $\mu$ is used. 
C)  a two-tail test for$\mu$Is used. 
D)  a one-tail test for
 
Is used. 
A)  a two-tail test for $\mu$is used. 
B)  a one-tail test for $\mu$ is used. 
C)  a two-tail test for$\mu$Is used. 
D)  a one-tail test for
 
Is used.

Question 8

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 9

The probability of a Type II error is denoted by ____________________.

Accepted Answer

The answer of The probability of a Type II error...

Question 10

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

Question 11

The rejection region for testing H0: $\mu$ = 100 vs. H1: $\mu$ $\neq$ 100, at the 0.05 level of significance is:

Accepted Answer

A) | z | 1.96 C) z > 1.65 D) z < 2.33 A) | z | 1.96 C) z > 1.65 D) z < 2.33

Question 12

In testing the hypotheses H0: $\mu$ = 800 vs. H1: $\mu$$\neq$800, if the value of the test statistic equals 1.75, then the p-value is:

Accepted Answer

A)  0.0401 
B)  0.0802 
C)  0.4599 
D)  0.9599 
A)  0.0401 
B)  0.0802 
C)  0.4599 
D)  0.9599

Question 13

A one-tail p-value is two times the size of a two-tail test.

Accepted Answer

A) True 
 B)False

Question 14

We cannot commit a Type I error when the:

Accepted Answer

A)  null hypothesis is true. 
B)  level of significance is 0.10. 
C)  null hypothesis is false. 
D)  test is a two-tail test. 
A)  null hypothesis is true. 
B)  level of significance is 0.10. 
C)  null hypothesis is false. 
D)  test is a two-tail test.

Question 15

In a criminal trial, a Type I 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.

Question 16

Calculate the p-value of the test.

Accepted Answer

The answer of Calculate the p-value of the test....

Question 17

The power of a test is measured by its capability of:

Accepted Answer

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

Question 18

When a null hypothesis is rejected, the test is said to be statistically ____________________ at level $\alpha$

Accepted Answer

The answer of When a null hypothesis is rejected, the...

Question 19

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.
-Review the results of the previous questions. What is the effect of decreasing the significance level on the value on $\beta$?

Accepted Answer

@#LAT-DLM& increases

Question 20

A random sample of 100 observations from a normal population whose standard deviation is 50 produced a mean of 75. Does this statistic provide sufficient evidence at the 5% level of significance to infer that the population mean is not 80?

Accepted Answer

H₀: @#LAT-DLM& = 80 vs. H₁:

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

If the p value is less than $\alpha$ in a two-tail test:

A Type II error is represented by $\beta$ ; it is the probability of failing to reject a false null hypothesis.

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

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

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if:

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

The probability of a Type II error is denoted by ____________________.

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?

The rejection region for testing H₀: $\mu$ = 100 vs. H₁: $\mu$ $\neq$ 100, at the 0.05 level of significance is:

In testing the hypotheses H₀: $\mu$ = 800 vs. H₁: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

A one-tail p-value is two times the size of a two-tail test.

We cannot commit a Type I error when the:

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

Calculate the p-value of the test.

The power of a test is measured by its capability of:

When a null hypothesis is rejected, the test is said to be statistically ____________________ at level $\alpha$

A random sample of 100 observations from a normal population whose standard deviation is 50 produced a mean of 75. Does this statistic provide sufficient evidence at the 5% level of significance to infer that the population mean is not 80?

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

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

If the p value is less than α\alphaα in a two-tail test:

A Type II error is represented by β\betaβ ; it is the probability of failing to reject a false null hypothesis.

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

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

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if:

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

The probability of a Type II error is denoted by ____________________.

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?

The rejection region for testing H0: μ\muμ = 100 vs. H1: μ\muμ ≠\neq= 100, at the 0.05 level of significance is:

In testing the hypotheses H0: μ\muμ = 800 vs. H1: μ\muμ≠\neq= 800, if the value of the test statistic equals 1.75, then the p-value is:

A one-tail p-value is two times the size of a two-tail test.

We cannot commit a Type I error when the:

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

Calculate the p-value of the test.

The power of a test is measured by its capability of:

When a null hypothesis is rejected, the test is said to be statistically ____________________ at level α\alphaα

A random sample of 100 observations from a normal population whose standard deviation is 50 produced a mean of 75. Does this statistic provide sufficient evidence at the 5% level of significance to infer that the population mean is not 80?

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 the p value is less than $\alpha$ in a two-tail test:

A Type II error is represented by $\beta$ ; it is the probability of failing to reject a false null hypothesis.

The rejection region for testing H₀: $\mu$ = 100 vs. H₁: $\mu$ $\neq$ 100, at the 0.05 level of significance is:

In testing the hypotheses H₀: $\mu$ = 800 vs. H₁: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

When a null hypothesis is rejected, the test is said to be statistically ____________________ at level $\alpha$