Explain the difference between accepting H0 and failing to reject H0.

The basis of making a decision in a hypo

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

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

Exam 11: Introduction to Hypothesis Testing

Think about a situation where you have a test for a virus.First,you are tested positive or negative.Second,you either really do have the virus or you don't. a.If you actually have the virus but the test did not catch it,which error has been made and what is the impact of that error? b.If you actually don't have the virus but the test says you did,which error is being made and what is the impact of this error? c.Which error is the worst one to commit in this situation and why?

(Essay)

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Question 121

Explain the difference between accepting H₀ and failing to reject H₀.

(Essay)

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Question 122

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

(Multiple Choice)

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Question 123

We have created a 95% confidence interval for μ with the results (10,25).What conclusion will we make if we test H₀: μ = 26 vs.H₁: μ ≠ 26 at α = 0.025?

(Multiple Choice)

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Question 124

You cannot commit a(n)____________________ error when the null hypothesis is true.

(Short Answer)

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Question 125

The hypothesis of most interest to the researcher is:

(Multiple Choice)

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Question 126

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 = .10 b.one-tail test,with z = 1.05,and α = .05 c.one-tail test,with z = −2.40,and α = .01

(Essay)

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Question 127

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

(True/False)

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Question 128

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

(Short Answer)

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Question 129

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the rejection region method.The other approach is the ____________________ method.

(Short Answer)

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Question 130

The power of a test is denoted by:

(Multiple Choice)

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Question 131

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

(True/False)

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Question 132

The level of significance can be:

(Multiple Choice)

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Question 133

By ____________________ the significance level,you increase the probability of a Type II error.

(Short Answer)

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Question 134

Toaster Oven An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W.From previous studies,it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W.A consumer group suspects the actual average is more than 250 W.They take a sample of 20 toaster ovens and calculate the average consumption to be 260 W. -{Toaster Oven Narrative} Calculate the p-value of the test.

(Short Answer)

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Question 135

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

(True/False)

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Question 136

Toaster Oven An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W.From previous studies,it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W.A consumer group suspects the actual average is more than 250 W.They take a sample of 20 toaster ovens and calculate the average consumption to be 260 W. -{Toaster Oven Narrative} What is the value of the test statistic?

(Short Answer)

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Question 137

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

(Multiple Choice)

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Question 138

Marathon Runners A researcher wants to study the average miles run per day for marathon runners.In testing the hypotheses: H₀: μ = 25 miles vs.H₁: μ ≠ 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} Explain briefly how to use the confidence interval to test the hypothesis.

(Essay)

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Question 139

The probability of a Type I error is denoted by:

(Multiple Choice)

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Question 140

Showing 121 - 140 of 189

Explain the difference between accepting H₀ and failing to reject H₀.

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

We have created a 95% confidence interval for μ with the results (10,25).What conclusion will we make if we test H₀: μ = 26 vs.H₁: μ ≠ 26 at α = 0.025?

You cannot commit a(n)____________________ error when the null hypothesis is true.

The hypothesis of most interest to the researcher is:

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 = .10 b.one-tail test,with z = 1.05,and α = .05 c.one-tail test,with z = −2.40,and α = .01

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

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

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the rejection region method.The other approach is the ____________________ method.

The power of a test is denoted by:

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

The level of significance can be:

By ____________________ the significance level,you increase the probability of a Type II error.

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

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

The probability of a Type I error is denoted by:

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

Explain the difference between accepting H0 and failing to reject H0.

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

We have created a 95% confidence interval for μ with the results (10,25).What conclusion will we make if we test H0: μ = 26 vs.H1: μ ≠ 26 at α = 0.025?

You cannot commit a(n)____________________ error when the null hypothesis is true.

The hypothesis of most interest to the researcher is:

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 = .10 b.one-tail test,with z = 1.05,and α = .05 c.one-tail test,with z = −2.40,and α = .01

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

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

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the rejection region method.The other approach is the ____________________ method.

The power of a test is denoted by:

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

The level of significance can be:

By ____________________ the significance level,you increase the probability of a Type II error.

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

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

The probability of a Type I error is denoted by:

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

Explain the difference between accepting H₀ and failing to reject H₀.

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

We have created a 95% confidence interval for μ with the results (10,25).What conclusion will we make if we test H₀: μ = 26 vs.H₁: μ ≠ 26 at α = 0.025?