Exam 7: Hypothesis Testing With One Sample

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

(Multiple Choice)

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Question 101

The mean age of bus drivers in Chicago is 56.9 years. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

(Short Answer)

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Question 102

A telephone company claims that 20% of its customers have at least two telephone lines. The company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. If α $\alpha$ = 0.05, test the companyʹs claim using confidence intervals.

(Essay)

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Question 103

Determine the critical value, z0, to test the claim about the population proportion $\mathrm { p } \neq$ .325 given n = 42 $\text { and } \hat { p } = 0.247 \text {. Use } \alpha = 0.05 \text {. }$

(Multiple Choice)

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Question 104

Test the claim about the population mean $\mu$ at the level of significance α $\alpha .$ Assume the population is normally distributed. $\text { Claim } \mu = 19.3 ; \alpha = 0.01 \text {. Sample statistics: } \bar { x } = 18.8 , \mathrm {~s} = 2.1 , \mathrm { n } = 12$

(Essay)

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Question 105

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha$ Left-tailed test Z = -1.83 $\alpha$ α = 0.05

(Multiple Choice)

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Question 106

A candidate for governor of a particular state claims to be favored by at least half of the voters. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

(Short Answer)

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Question 107

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. $\mathrm { H } _ { \mathrm { a } } : \mu < 9$ $The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. \mathrm { H } _ { \mathrm { a } } : \mu < 9$

(Multiple Choice)

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Question 108

Compute the standardized test statistic, $X ^ { 2 }$ to test the claim $\sigma ^ { 2 } > 15.2 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 21.6 , \text { and } \alpha = 0.01$

(Multiple Choice)

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Question 109

Test the claim that $\mu \leq 40 ,$ 40, given that $\sigma = 4.3 , \alpha = 0.01$ and the sample statistics are n = $40 \text { and } \bar { x } = 41.8$

(Essay)

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Question 110

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. If α $\alpha$ = 0.05, test the claim using confidence intervals.

(Essay)

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Question 111

Find the standardized test statistic t for a sample with $\mathrm { n } = 25 , \overline { \mathrm { x } } = 28 , \mathrm {~s} = 3 \text {, and } \alpha = 0.005 \text { if } \mathrm { H } _ { \mathrm { a } } : \mu > 27 . \text { Round }$ your answer to three decimal places.

(Multiple Choice)

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Question 112

The engineering school at a major university claims that 20% of its graduates are women. In a graduating class of 210 students, 58 were women. Does this suggest that the school is believable? Use $\alpha$ = 0.05.

(Essay)

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Question 113

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

(Multiple Choice)

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Question 114

The mean score for all NBA games during a particular season was less than 90 points per game. Identify the type I and type II errors for the hypothesis test of this claim.

(Essay)

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Question 115

A coin is tossed 1000 times and 530 heads appear. At α $\alpha$ = 0.05, test the claim that this is not a biased coin. Use a P-value. Does this suggest the coin is fair?

(Essay)

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Question 116

Find the standardized test statistic t for a sample with $\mathrm { n } = 10 , \overline { \mathrm { x } } = 16.5 , \mathrm {~s} = 1.3 , \text { and } \alpha = 0.05 \text { if } \mathrm { H } _ { 0 } : \mu \geq 17.4$ Round your answer to three decimal places.

(Multiple Choice)

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Question 117

Suppose you want to test the claim that $\mu > 25.6$ Given a sample size of n = 55 and a level of significance of $\alpha$ α = 0.01, when should you reject H₀?

(Multiple Choice)

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Question 118

A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α $\alpha$ = 0.05, test the fast food outletʹs claim.

(Essay)

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Question 119

Test the claim that $\sigma ^ { 2 } < 22.4 \text { if } \mathrm { n } = 28 , \mathrm {~s} ^ { 2 } = 14 \text {, and } \alpha = 0.10$ .10. Assume that the population is normally distributed.

(Essay)

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Question 120

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

The mean age of bus drivers in Chicago is 56.9 years. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

A telephone company claims that 20% of its customers have at least two telephone lines. The company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. If α $\alpha$ = 0.05, test the companyʹs claim using confidence intervals.

Determine the critical value, z0, to test the claim about the population proportion $\mathrm { p } \neq$ .325 given n = 42 $\text { and } \hat { p } = 0.247 \text {. Use } \alpha = 0.05 \text {. }$

Test the claim about the population mean $\mu$ at the level of significance α $\alpha .$ Assume the population is normally distributed. $\text { Claim } \mu = 19.3 ; \alpha = 0.01 \text {. Sample statistics: } \bar { x } = 18.8 , \mathrm {~s} = 2.1 , \mathrm { n } = 12$

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha$ Left-tailed test Z = -1.83 $\alpha$ α = 0.05

A candidate for governor of a particular state claims to be favored by at least half of the voters. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. $\mathrm { H } _ { \mathrm { a } } : \mu < 9$ $The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. \mathrm { H } _ { \mathrm { a } } : \mu < 9$

Compute the standardized test statistic, $X ^ { 2 }$ to test the claim $\sigma ^ { 2 } > 15.2 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 21.6 , \text { and } \alpha = 0.01$

Test the claim that $\mu \leq 40 ,$ 40, given that $\sigma = 4.3 , \alpha = 0.01$ and the sample statistics are n = $40 \text { and } \bar { x } = 41.8$

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. If α $\alpha$ = 0.05, test the claim using confidence intervals.

Find the standardized test statistic t for a sample with $\mathrm { n } = 25 , \overline { \mathrm { x } } = 28 , \mathrm {~s} = 3 \text {, and } \alpha = 0.005 \text { if } \mathrm { H } _ { \mathrm { a } } : \mu > 27 . \text { Round }$ your answer to three decimal places.

The engineering school at a major university claims that 20% of its graduates are women. In a graduating class of 210 students, 58 were women. Does this suggest that the school is believable? Use $\alpha$ = 0.05.

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

The mean score for all NBA games during a particular season was less than 90 points per game. Identify the type I and type II errors for the hypothesis test of this claim.

A coin is tossed 1000 times and 530 heads appear. At α $\alpha$ = 0.05, test the claim that this is not a biased coin. Use a P-value. Does this suggest the coin is fair?

Find the standardized test statistic t for a sample with $\mathrm { n } = 10 , \overline { \mathrm { x } } = 16.5 , \mathrm {~s} = 1.3 , \text { and } \alpha = 0.05 \text { if } \mathrm { H } _ { 0 } : \mu \geq 17.4$ Round your answer to three decimal places.

Suppose you want to test the claim that $\mu > 25.6$ Given a sample size of n = 55 and a level of significance of $\alpha$ α = 0.01, when should you reject H₀?

A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α $\alpha$ = 0.05, test the fast food outletʹs claim.

Test the claim that $\sigma ^ { 2 } < 22.4 \text { if } \mathrm { n } = 28 , \mathrm {~s} ^ { 2 } = 14 \text {, and } \alpha = 0.10$ .10. Assume that the population is normally distributed.

Introduction to Statistics

Descriptive Statistics

Probability

Discrete Probability Distributions

Normal Probability Distributions

Confidence Intervals

Hypothesis Testing With Two Samples

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Exam 7: Hypothesis Testing With One Sample

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

The mean age of bus drivers in Chicago is 56.9 years. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

A telephone company claims that 20% of its customers have at least two telephone lines. The company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. If α α\alphaα = 0.05, test the companyʹs claim using confidence intervals.

Determine the critical value, z0, to test the claim about the population proportion p≠\mathrm { p } \neqp= .325 given n = 42 and p^=0.247. Use α=0.05. \text { and } \hat { p } = 0.247 \text {. Use } \alpha = 0.05 \text {. } and p^​=0.247. Use α=0.05.

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0\mathrm { H } _ { 0 }H0​ for the level of significance α α\alphaα Left-tailed test Z = -1.83 α\alphaα α = 0.05

A candidate for governor of a particular state claims to be favored by at least half of the voters. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. Ha:μ<9\mathrm { H } _ { \mathrm { a } } : \mu < 9Ha​:μ<9

Compute the standardized test statistic, X2X ^ { 2 }X2 to test the claim σ2>15.2 if n=18, s2=21.6, and α=0.01\sigma ^ { 2 } > 15.2 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 21.6 , \text { and } \alpha = 0.01σ2>15.2 if n=18, s2=21.6, and α=0.01

Test the claim that μ≤40,\mu \leq 40 ,μ≤40, 40, given that σ=4.3,α=0.01\sigma = 4.3 , \alpha = 0.01σ=4.3,α=0.01 and the sample statistics are n = 40 and xˉ=41.840 \text { and } \bar { x } = 41.840 and xˉ=41.8

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. If α α\alphaα = 0.05, test the claim using confidence intervals.

The engineering school at a major university claims that 20% of its graduates are women. In a graduating class of 210 students, 58 were women. Does this suggest that the school is believable? Use α\alphaα = 0.05.

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

The mean score for all NBA games during a particular season was less than 90 points per game. Identify the type I and type II errors for the hypothesis test of this claim.

A coin is tossed 1000 times and 530 heads appear. At α α\alphaα = 0.05, test the claim that this is not a biased coin. Use a P-value. Does this suggest the coin is fair?

Suppose you want to test the claim that μ>25.6\mu > 25.6μ>25.6 Given a sample size of n = 55 and a level of significance of α\alphaα α = 0.01, when should you reject H₀?

A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α α\alphaα = 0.05, test the fast food outletʹs claim.

Test the claim that σ2<22.4 if n=28, s2=14, and α=0.10\sigma ^ { 2 } < 22.4 \text { if } \mathrm { n } = 28 , \mathrm {~s} ^ { 2 } = 14 \text {, and } \alpha = 0.10σ2<22.4 if n=28, s2=14, and α=0.10 .10. Assume that the population is normally distributed.

Introduction to Statistics

Descriptive Statistics

Probability

Discrete Probability Distributions

Normal Probability Distributions

Confidence Intervals

Hypothesis Testing With Two Samples

Correlation and Regression

Chi-Square Tests and the F-Distribution

Nonparametric Tests Online and CD Only

Filters

A telephone company claims that 20% of its customers have at least two telephone lines. The company selects a random sample of 500 customers and finds that 88 have two or more telephone lines. If α $\alpha$ = 0.05, test the companyʹs claim using confidence intervals.

Determine the critical value, z0, to test the claim about the population proportion $\mathrm { p } \neq$ .325 given n = 42 $\text { and } \hat { p } = 0.247 \text {. Use } \alpha = 0.05 \text {. }$

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha$ Left-tailed test Z = -1.83 $\alpha$ α = 0.05

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. $\mathrm { H } _ { \mathrm { a } } : \mu < 9$ $The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. \mathrm { H } _ { \mathrm { a } } : \mu < 9$

Compute the standardized test statistic, $X ^ { 2 }$ to test the claim $\sigma ^ { 2 } > 15.2 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 21.6 , \text { and } \alpha = 0.01$

Test the claim that $\mu \leq 40 ,$ 40, given that $\sigma = 4.3 , \alpha = 0.01$ and the sample statistics are n = $40 \text { and } \bar { x } = 41.8$

A recent study claimed that at least 15% of junior high students are overweight. In a sample of 160 students, 18 were found to be overweight. If α $\alpha$ = 0.05, test the claim using confidence intervals.

The engineering school at a major university claims that 20% of its graduates are women. In a graduating class of 210 students, 58 were women. Does this suggest that the school is believable? Use $\alpha$ = 0.05.

A coin is tossed 1000 times and 530 heads appear. At α $\alpha$ = 0.05, test the claim that this is not a biased coin. Use a P-value. Does this suggest the coin is fair?

Suppose you want to test the claim that $\mu > 25.6$ Given a sample size of n = 55 and a level of significance of $\alpha$ α = 0.01, when should you reject H₀?

A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α $\alpha$ = 0.05, test the fast food outletʹs claim.

Test the claim that $\sigma ^ { 2 } < 22.4 \text { if } \mathrm { n } = 28 , \mathrm {~s} ^ { 2 } = 14 \text {, and } \alpha = 0.10$ .10. Assume that the population is normally distributed.