Exam 11: Introduction to Hypothesis Testing

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample, given that H₀ is true.

(Short Answer)

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Question 121

The owner of a local nightclub has recently surveyed a random sample of n = 300 customers of the club. She would now like to determine whether or not the mean age of her customers is over 35. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 35.5 years and the population standard deviation was 5 years. What is the p-value associated with the test statistic?

(Multiple Choice)

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Question 122

NARRBEGIN: Marathon Runners Marathon Runners A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses: H₀: $\mu$ =25 miles vs. H₁: $\mu$ $\neq$ 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.NARREND -{Marathon Runners Narrative} Compute the p-value.

(Short Answer)

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Question 123

In order to determine the p-value, which of the following is not needed?

(Multiple Choice)

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Question 124

NARRBEGIN: Toaster Oven 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.NARREND -{Toaster Oven Narrative} For a test with a level of significance of 0.05, determine the critical value.

(Short Answer)

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Question 125

To calculate the probability of a(n) ____________________ error you need to specify a value of $\mu$ other than the one given in the null hypothesis.

(Short Answer)

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Question 126

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

(Short Answer)

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Question 127

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

(Multiple Choice)

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Question 128

You reject H₀ if the p-value of your hypothesis is ____________________ than the significance level.

(Short Answer)

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Question 129

NARRBEGIN: LSAT Scores 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.NARREND -{LSAT Scores Narrative} Calculate the p-value.

(Short Answer)

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Question 130

The power of a test is the probability that a true null hypothesis will be rejected.

(True/False)

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Question 131

A Type I error is represented by $\beta$ .

(True/False)

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Question 132

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

(True/False)

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Question 133

If the value of the sample mean $\bar { x }$ is close enough to the hypothesized value If the value of the sample mean $\mu$ ₀ of the population mean If the value of the sample mean , then:

(Multiple Choice)

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Question 134

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

(Short Answer)

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Question 135

Which of the following would be an appropriate alternative hypothesis?

(Multiple Choice)

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Question 136

In a one-tail test, the p-value is found to be equal to 0.054. If the test had been two-tail, then the p-value would have been 0.027.

(True/False)

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Question 137

If we reject the null hypothesis, we conclude that:

(Multiple Choice)

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Question 138

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?

(Multiple Choice)

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Question 139

For a given level of significance, if the sample size increases, the probability of a Type II error will:

(Multiple Choice)

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Question 140

Showing 121 - 140 of 187

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample, given that H₀ is true.

In order to determine the p-value, which of the following is not needed?

To calculate the probability of a(n) ____________________ error you need to specify a value of $\mu$ other than the one given in the null hypothesis.

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

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

You reject H₀ if the p-value of your hypothesis is ____________________ than the significance level.

The power of a test is the probability that a true null hypothesis will be rejected.

A Type I error is represented by $\beta$ .

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

If the value of the sample mean $\bar { x }$ is close enough to the hypothesized value If the value of the sample mean $\mu$ ₀ of the population mean If the value of the sample mean , then:

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

Which of the following would be an appropriate alternative hypothesis?

In a one-tail test, the p-value is found to be equal to 0.054. If the test had been two-tail, then the p-value would have been 0.027.

If we reject the null hypothesis, we conclude that:

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?

For a given level of significance, if the sample size increases, the probability of a Type II error will:

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

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample, given that H0 is true.

In order to determine the p-value, which of the following is not needed?

To calculate the probability of a(n) ____________________ error you need to specify a value of μ\muμ other than the one given in the null hypothesis.

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

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

You reject H0 if the p-value of your hypothesis is ____________________ than the significance level.

The power of a test is the probability that a true null hypothesis will be rejected.

A Type I error is represented by β\betaβ .

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

If the value of the sample mean xˉ\bar { x }xˉ is close enough to the hypothesized value If the value of the sample mean μ\muμ 0 of the population mean If the value of the sample mean , then:

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

Which of the following would be an appropriate alternative hypothesis?

In a one-tail test, the p-value is found to be equal to 0.054. If the test had been two-tail, then the p-value would have been 0.027.

If we reject the null hypothesis, we conclude that:

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?

For a given level of significance, if the sample size increases, the probability of a Type II error will:

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

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample, given that H₀ is true.

To calculate the probability of a(n) ____________________ error you need to specify a value of $\mu$ other than the one given in the null hypothesis.

You reject H₀ if the p-value of your hypothesis is ____________________ than the significance level.

A Type I error is represented by $\beta$ .

If the value of the sample mean $\bar { x }$ is close enough to the hypothesized value If the value of the sample mean $\mu$ ₀ of the population mean If the value of the sample mean , then:

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?