Chapter 9 Review Hypothesis Testing

Which of the following represents the appropriate null & alternative hypotheses? The mean height of women is greater than 64"

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• a) reject the null

• c) Accept the null

A car manufacturer advertises that its new subcompact models gets an average of 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated ?

• H₀ μ = 47 claim

  H₁ μ ≠ 47

• H₀ µ ≥ 47

  H_a μ < 47 claim

• H₀ μ ≤ 47

  H₁ μ > 47 claim

Determine the P-Value for a left tailed test with a

z = -1.83. If the alpha = 0.01 what should we do with the null?

• P-value = .0336; reject the null

• P-value = .0672; reject the null

• P-value = .0336; keep the null

• P-value = .0672; keep the null

Determine the P-value for a two tailed test with a

z = 1.89. If the alpha = 0.05 what should we do with the null?

• P-value = .0294; reject the null

• P-value = .0588; reject the null

• P-value = .9706; keep the null

• P-value = .0588; keep the null

Determine the p-value for a right tailed test with a

z = 2.67. If the alpha = 0.01 what should we do with the null?

• P-value = .9962; reject the null

• P-value = .0038; reject the null

• P-value = .0076; reject the null

• P-value = .9962; keep the null

What is the critical value for a left-tailed test with α = 0.05 and n ≥ 30. 

• z₀ = -1.65

• z₀ = -2.33

• z₀ = -1.96

• z₀ = 2.58

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CCSS.HSS.ID.A.4

What is the critical value for a right-tailed test with α = 0.01 and n ≥ 30. 

• z₀ = -1.65

• z₀ = 2.33

• z₀ = -1.96

• z₀ = 2.58

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CCSS.HSS.ID.A.4

The average miles on a tank of gas for the Ford

Explorer is 300 miles with a standard deviation of 22

miles. A consumer group feels the average is actually

lower. They survey 40 vehicles and find the average

miles per tank is 290 miles. At α = 0.05, test the

consumer groups’ claim that the miles per tank is

actually lower than 300 miles.

• There is not enough evidence to support the claim

• There is enough evidence to support the claim

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CCSS.HSS.ID.A.4

A real estate agent claims average price of condo in Naples, FL is at most $56,900. Standard deviation is $2500. Sample of 36 condos shows average selling price is $57,374. Does evidence support claim at ∝ = .05?

• There is enough evidence to support claim.

• There is not enough evidence to support claim.

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