9.7 - Hypothesis Testing Review

Which of the following represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

• H₀: μ > 64"

  Hₐ: μ ≠ 64"

• H₀: μ < 64"

  Hₐ: μ > 64"

• H₀: p > 64"

  Hₐ: p ≠ 64"

• H₀: p = 64"

  Hₐ: p > 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 hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis

When p-value is greater than alpha we:

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

Which of the following is not an option for an alternate hypothesis? 

• H_a = k
• H_a > k
• H_a < k
• H_a ≠ k

When do you use a t-test instead of a z-test?

• When the population standard deviation is not known.

• When the population standard deviation is given.

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.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

A sample of 35 cans of Campbell’s Tomato Soup found

that the net weight of the cans was 298 grams with a

standard deviation of 24 grams. The production line

supervisor has been told that the net weight of all cans

is 308 grams. Is there enough evidence, at the 5% level,

to say that the weight of the cans is something other

than 308 grams?

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

When performing a test about the population proportion, what distribution would you need to use?

• z-test

• t-test

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

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis