Exam 10: Hypothesis Tests Regarding a Parameter

According to a prestigious historical society, in 1999, 7.2% of recent high school graduates believe that theRomans invented mayonnaise. A classics scholar believes that the percentage has increased since then. Herandomly selects 125 recent high school graduates and finds that 17 of them believe in the Roman invention ofmayonnaise. Test this researcherʹs claim at the α = 0.01 level of significance.

(Essay)

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Question 41

The business college computing center wants to determine the proportion of business students who havepersonal computers (PCʹs) at home. If the proportion differs from 35%, then the lab will modify a proposedenlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.6. Find the P-valuefor a two-tailed test of hypothesis.

(Multiple Choice)

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Question 42

The mean age of judges in Dallas is greater than 50.2 years. 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 43

In a hypothesis test as the population mean gets closer to the hypothesized mean, $\beta$

(Multiple Choice)

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Question 44

Determine the standardized test statistic, z , to test the claim about the population proportion $p \geq 0.132$ given $\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.11 \text {. Use } \alpha = 0.05 \text {. }$

(Multiple Choice)

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Question 45

The mean monthly cell phone bill for one household was less than $93. Identify the type I and type II errors forthe hypothesis test of this claim.

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Question 46

In a sample, 76 people or 38% of the people in the sample said that the mayor should be prosecuted formisconduct. How many people where in the sample?

(Multiple Choice)

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Question 47

Suppose you want to test the claim that $\mu \geq 65.4$ Given a sample size of n=35 and a level of significance of $\alpha$ =0.01 , when should you reject H₀ ?

(Multiple Choice)

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Question 48

A shipping firm suspects that the mean life of a certain brand of tire used by its trucks is less than 40,000 miles.To check the claim, the firm randomly selects and tests 18 of these tires and gets a mean lifetime of 39,300 mileswith a standard deviation of 1200 miles. At α = 0.05, test the shipping firmʹs claim. Round the test statistic tothe nearest thousandth.

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Question 49

A local hardware store claims that the mean waiting time in line is less than 3.5 minutes. A random sample of20 customers has a mean of 3.7 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the storeʹsclaim using P-values.

(Essay)

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Question 50

The power of the test is

(Multiple Choice)

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Question 51

According to a local chamber of commerce, in 1993, 5.9% of local area residents owned more than five cars. Alocal car dealer claims that the percentage has increased. He randomly selects 180 local area residents and findsthat 12 of them own more than five cars. Test this car dealerʹs claim at the α = 0.05 level of significance.

(Essay)

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Question 52

A ______________ is a statement or claim regarding a characteristic of one or more populations.

(Multiple Choice)

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Question 53

The mean annual return for an employeeʹs IRA is at most 4.7 percent. Write the null and alternativehypotheses.

(Essay)

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Question 54

A popular referendum on the ballot is favored by more than half of the voters. Write the null and alternativehypotheses.

(Essay)

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Question 55

The greater the power of the test the more likely the test will

(Multiple Choice)

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Question 56

The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 35% , then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 85 have PC's at home. Find the rejection region for this test using $\alpha$ =0.10 .

(Multiple Choice)

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Question 57

In 2010, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in thisstate believes that the mean expenditure for auto insurance is less today. She obtains a simple random sampleof 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of$39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less thanthe 2010 amount at the α = 0.05 level of significance?

(Essay)

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Question 58

A hypothesis test is a ʺtwo-tailedʺ if the alternative hypothesis contains a _______ sign.

(Multiple Choice)

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Question 59

The probability of making a Type II error is indicated by the letter

(Multiple Choice)

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Question 60

Showing 41 - 60 of 140

The mean age of judges in Dallas is greater than 50.2 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

In a hypothesis test as the population mean gets closer to the hypothesized mean, $\beta$

Determine the standardized test statistic, z , to test the claim about the population proportion $p \geq 0.132$ given $\mathrm { n } = 48 \text { and } \hat { \mathrm { p } } = 0.11 \text {. Use } \alpha = 0.05 \text {. }$

The mean monthly cell phone bill for one household was less than $93. Identify the type I and type II errors forthe hypothesis test of this claim.

In a sample, 76 people or 38% of the people in the sample said that the mayor should be prosecuted formisconduct. How many people where in the sample?

Suppose you want to test the claim that $\mu \geq 65.4$ Given a sample size of n=35 and a level of significance of $\alpha$ =0.01 , when should you reject H₀ ?

A local hardware store claims that the mean waiting time in line is less than 3.5 minutes. A random sample of20 customers has a mean of 3.7 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the storeʹsclaim using P-values.

The power of the test is

A ______________ is a statement or claim regarding a characteristic of one or more populations.

The mean annual return for an employeeʹs IRA is at most 4.7 percent. Write the null and alternativehypotheses.

A popular referendum on the ballot is favored by more than half of the voters. Write the null and alternativehypotheses.

The greater the power of the test the more likely the test will

A hypothesis test is a ʺtwo-tailedʺ if the alternative hypothesis contains a _______ sign.

The probability of making a Type II error is indicated by the letter

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter

Inferences on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Filters

Exam 10: Hypothesis Tests Regarding a Parameter

The mean age of judges in Dallas is greater than 50.2 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

In a hypothesis test as the population mean gets closer to the hypothesized mean, β\betaβ

The mean monthly cell phone bill for one household was less than $93. Identify the type I and type II errors forthe hypothesis test of this claim.

In a sample, 76 people or 38% of the people in the sample said that the mayor should be prosecuted formisconduct. How many people where in the sample?

Suppose you want to test the claim that μ≥65.4\mu \geq 65.4μ≥65.4 Given a sample size of n=35 and a level of significance of α\alphaα =0.01 , when should you reject H0 ?

A local hardware store claims that the mean waiting time in line is less than 3.5 minutes. A random sample of20 customers has a mean of 3.7 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the storeʹsclaim using P-values.

The power of the test is

A ______________ is a statement or claim regarding a characteristic of one or more populations.

The mean annual return for an employeeʹs IRA is at most 4.7 percent. Write the null and alternativehypotheses.

A popular referendum on the ballot is favored by more than half of the voters. Write the null and alternativehypotheses.

The greater the power of the test the more likely the test will

A hypothesis test is a ʺtwo-tailedʺ if the alternative hypothesis contains a _______ sign.

The probability of making a Type II error is indicated by the letter

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter

Inferences on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Filters

In a hypothesis test as the population mean gets closer to the hypothesized mean, $\beta$

Suppose you want to test the claim that $\mu \geq 65.4$ Given a sample size of n=35 and a level of significance of $\alpha$ =0.01 , when should you reject H₀ ?