Question 1

For a given level of significance,if the sample size is increased,the probability of committing a Type II error will ____________________.

Accepted Answer

The answer of For a given level of significance,if the...

Question 2

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 3

Formulate the null and alternative hypothesis in each case:
a.Ten years ago the average American drank 2.5 cups of coffee per day.You suspect that amount has changed since then.
b.A researcher at Ohio State University speculates that the average SAT score for entering freshmen is higher than the national average of 1,650.
c.The manager of the University of Iowa bookstore suspects the average amount of money a student spends on books is less than the reported $400.

Accepted Answer

a. H₀: μ = 2.5,H₁: μ ≠

Question 4

If the conclusion of a hypothesis test is that a statistically significant result was found,then the null hypothesis ____________________ (was/was not)rejected.

Accepted Answer

The answer of If the conclusion of a hypothesis test...

Question 5

The ____________________ is a range of values such that if the test statistic falls into that range we reject the null hypothesis in favor of the alternative
hypothesis.

Accepted Answer

The answer of The ____________________ is a range of values...

Question 6

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

Accepted Answer

A) True 
 B)False

Question 7

Calculate the probability of a Type II error for the hypothesis test: H0: μ = 50 vs.H1: μ > 50,given that μ = 55,α = 0.05,σ = 10,and n = 16.

Accepted Answer

β = P( @#IMG-DLM& < 54.113 giv

Question 8

Suppose that 9 grades are drawn from a normal population whose standard deviation is 15.The observations are:
90
54
78
66
48
72
66
42
60
At 99% confidence,you want to determine whether the mean of the population from which this sample was taken is greater than 50.
a.State the null and alternative hypotheses.
b.Compute the value of the test statistic.
c.Compute the p-value.
d.Interpret the results.

Accepted Answer

a. H₀: μ = 50 vs.H₁: μ > 50 b

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

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: μ = 40 vs.HS1U1B11S1U1B0: μ > 40,the following information came from your random sample of viewers:   = 42 minutes,n = 25.Assume σ = 5.5,and α = 0.10. ​ ​
-{Watching the News Narrative} Interpret the result.

Accepted Answer

Reject H₀ and conclude that the

Question 11

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

Accepted Answer

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

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

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 14

The power of a test plus the probability of a Type II error equals ____________________.

Accepted Answer

The answer of The power of a test plus the...

Question 15

A Type I error is represented by   .

Accepted Answer

A) True 
 B)False

Question 16

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.

Question 17

If we want to compute the probability of a Type II error,which of the following statements is false?

Accepted Answer

A) We need to know the significance level α. 
B) We need to know the sample size n. 
C) We need to know the alternative value of the population mean μ. 
D) All of these choices are true. 
A) We need to know the significance level α. 
B) We need to know the sample size n. 
C) We need to know the alternative value of the population mean μ. 
D) All of these choices are true.

Question 18

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level.The most accurate statement that can be made about the p-value for this test is that:

Accepted Answer

A) p-value = 0.01. 
B) p-value = 0.10. 
C) 0.01 < p-value < 0.05. 
D) 0.05 < p-value < 0.10. 
A) p-value = 0.01. 
B) p-value = 0.10. 
C) 0.01 < p-value < 0.05. 
D) 0.05 < p-value < 0.10.

Question 19

A social researcher claims that the average adult listens to the radio less than 26 hours per week.He collects data on 25 individuals' radio listening habits and finds that the mean number of hours that the 25 people spent listening to the radio was 22.4 hours.If the population standard deviation is known to be eight hours,can we conclude at the 1% significance level that he is right?

Accepted Answer

H₀: μ = 26 vs.H₁: μ < 26 Test st

Question 20

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

Accepted Answer

A) True 
 B)False

For a given level of significance,if the sample size is increased,the probability of committing a Type II error will ____________________.

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

If the conclusion of a hypothesis test is that a statistically significant result was found,then the null hypothesis ____________________ (was/was not)rejected.

The ____________________ is a range of values such that if the test statistic falls into that range we reject the null hypothesis in favor of the alternative hypothesis.

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

Calculate the probability of a Type II error for the hypothesis test: H₀: μ = 50 vs.H₁: μ > 50,given that μ = 55,α = 0.05,σ = 10,and n = 16.

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

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

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

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?

The power of a test plus the probability of a Type II error equals ____________________.

A Type I error is represented by .

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

If we want to compute the probability of a Type II error,which of the following statements is false?

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level.The most accurate statement that can be made about the p-value for this test is that:

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

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

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

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 11: Introduction to Hypothesis Testing

For a given level of significance,if the sample size is increased,the probability of committing a Type II error will ____________________.

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

If the conclusion of a hypothesis test is that a statistically significant result was found,then the null hypothesis ____________________ (was/was not)rejected.

The ____________________ is a range of values such that if the test statistic falls into that range we reject the null hypothesis in favor of the alternative hypothesis.

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

Calculate the probability of a Type II error for the hypothesis test: H0: μ = 50 vs.H1: μ > 50,given that μ = 55,α = 0.05,σ = 10,and n = 16.

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

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

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

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?

The power of a test plus the probability of a Type II error equals ____________________.

A Type I error is represented by .

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

If we want to compute the probability of a Type II error,which of the following statements is false?

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level.The most accurate statement that can be made about the p-value for this test is that:

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

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

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

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Calculate the probability of a Type II error for the hypothesis test: H₀: μ = 50 vs.H₁: μ > 50,given that μ = 55,α = 0.05,σ = 10,and n = 16.

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?