Question 1

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  True

Question 2

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. A

Question 3

A two-tail test for the population mean $\mu$ produces a test-statistic z = 1.89. The p-value associated with the test is 0.0588.

Accepted Answer

A) True 
 B)False  True

Question 4

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following $\alpha$-values do we also reject the null hypothesis?

Accepted Answer

A) 0.06 
B) 0.04 
C) 0.03 
D) 0.02 
A) 0.06 
B) 0.04 
C) 0.03 
D) 0.02

Question 5

NARRBEGIN: Rechargeable Batteries
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: $\mu$ =950 hours, a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours.NARREND
-{Rechargeable Batteries Narrative} Review the results of the previous questions. What is the effect of increasing the sample size on the value of $\beta$?

Accepted Answer

@#LAT-DLM& decreases

Question 6

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 7

The power of the test refers to the probability of rejecting a false null hypothesis.

Accepted Answer

A) True 
 B)False

Question 8

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

Question 9

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

Accepted Answer

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

Question 10

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error) versus the values of the population mean $\mu$.

Accepted Answer

A) True 
 B)False

Question 11

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 12

One way of expressing how well a test performs is to report its power--the probability of detecting a false null hypothesis.

Accepted Answer

A) True 
 B)False

Question 13

A one-tail test for the population mean $\mu$ produces a test-statistic z = -0.75. The p-value associated with the test is 0.7734.

Accepted Answer

A) True 
 B)False

Question 14

Which of the following statements is not true?

Accepted Answer

A) The probability of making a Type II error increases as the probability of making a Type I error decreases. 
B) The probability of making a Type II error and the level of significance are the same. 
C) The power of the test decreases as the level of significance decreases. 
D) All of these choices are true. 
A) The probability of making a Type II error increases as the probability of making a Type I error decreases. 
B) The probability of making a Type II error and the level of significance are the same. 
C) The power of the test decreases as the level of significance decreases. 
D) All of these choices are true.

Question 15

For each of the following pairs of null and alternative hypotheses, determine whether or not they are statistically correct to conduct a hypothesis test.
a.H0: $\mu$ =25, H1: $\mu$0: $\mu$=30, H1: $\mu$> 30
c.H0:
 ==35, H1:
 >35
d.H0:
 1:
 0: $\mu$ $\neq$ 60, H1: $\mu$ = 60

Accepted Answer

a.appropriate
b.appr

Question 16

The statement of the null hypothesis always includes an equals sign (=).

Accepted Answer

A) True 
 B)False

Question 17

NARRBEGIN: Watching the News
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: $\bar { X }$ = 42 minutes, n = 25. Assume $\sigma$ = 5.5, and $\alpha$ = 0.10.NARREND
-{Watching the News Narrative} Interpret the result.

Accepted Answer

Reject H₀ and conclude that the

Question 18

Determine the p-value associated with each of the following values of the standardized test statistic z, and state your conclusion.
a.two-tail test, with z = 1.50, and $\alpha$ = .10
b.one-tail test, with z = 1.05, and $\alpha$ = .05
c.one-tail test, with z =-2.40, and$\alpha$ = .01

Accepted Answer

a.0.1336, fail to re

Question 19

NARRBEGIN: Rechargeable Batteries
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: $\mu$ =950 hours, a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours.NARREND
-{Rechargeable Batteries Narrative} Calculate $\beta$, the probability of a Type II error when $\mu$ = 1000 and $\alpha$ = 0.10.

Accepted Answer

@#LAT-DLM& = P(884.2 < @#LAT-DLM& < 1015

Question 20

The probability of a Type II error is denoted by:

Accepted Answer

A) $\alpha$ 
B) $\beta$ 
C) 1 - $\alpha$ 
D) 1- $\beta$ 
A) $\alpha$ 
B) $\beta$ 
C) 1 - $\alpha$ 
D) 1- $\beta$

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

The hypothesis of most interest to the researcher is:

A two-tail test for the population mean $\mu$ produces a test-statistic z = 1.89. The p-value associated with the test is 0.0588.

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following $\alpha$ -values do we also reject the null hypothesis?

A Type II error is committed if we make:

The power of the test refers to the probability of rejecting a false null hypothesis.

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

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error) versus the values of the population mean $\mu$ .

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?

One way of expressing how well a test performs is to report its power--the probability of detecting a false null hypothesis.

A one-tail test for the population mean $\mu$ produces a test-statistic z = -0.75. The p-value associated with the test is 0.7734.

Which of the following statements is not true?

The statement of the null hypothesis always includes an equals sign (=).

Determine the p-value associated with each of the following values of the standardized test statistic z, and state your conclusion. a.two-tail test, with z = 1.50, and $\alpha$ = .10 b.one-tail test, with z = 1.05, and $\alpha$ = .05 c.one-tail test, with z =-2.40, and $\alpha$ = .01

The probability of a Type II error is denoted by:

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 Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 11: Introduction to Hypothesis Testing

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

The hypothesis of most interest to the researcher is:

A two-tail test for the population mean μ\muμ produces a test-statistic z = 1.89. The p-value associated with the test is 0.0588.

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following α\alphaα -values do we also reject the null hypothesis?

A Type II error is committed if we make:

The power of the test refers to the probability of rejecting a false null hypothesis.

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

The operating characteristic curve plots the values of β\betaβ (the probability of committing a Type II error) versus the values of the population mean μ\muμ .

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?

One way of expressing how well a test performs is to report its power--the probability of detecting a false null hypothesis.

A one-tail test for the population mean μ\muμ produces a test-statistic z = -0.75. The p-value associated with the test is 0.7734.

Which of the following statements is not true?

The statement of the null hypothesis always includes an equals sign (=).

Determine the p-value associated with each of the following values of the standardized test statistic z, and state your conclusion. a.two-tail test, with z = 1.50, and α\alphaα = .10 b.one-tail test, with z = 1.05, and α\alphaα = .05 c.one-tail test, with z =-2.40, and α\alphaα = .01

The probability of a Type II error is denoted by:

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 Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

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

A two-tail test for the population mean $\mu$ produces a test-statistic z = 1.89. The p-value associated with the test is 0.0588.

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following $\alpha$ -values do we also reject the null hypothesis?

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error) versus the values of the population mean $\mu$ .

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?

A one-tail test for the population mean $\mu$ produces a test-statistic z = -0.75. The p-value associated with the test is 0.7734.

Determine the p-value associated with each of the following values of the standardized test statistic z, and state your conclusion. a.two-tail test, with z = 1.50, and $\alpha$ = .10 b.one-tail test, with z = 1.05, and $\alpha$ = .05 c.one-tail test, with z =-2.40, and $\alpha$ = .01