One Sample Hypothesis Testing Review

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

• 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?

• Reject the null hypothesis

• Reject the alternative hypothesis

• Fail to reject the null hypothesis

• Fail to reject the alternative hypothesis

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

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

• z-test

• t-test

A potato chip producer and a supplier of potatoes agree that each shipment must meet certain quality standards. If the producer is convinced that more than 8% of the potatoes in the shipment have blemishes, the truck will be sent away and another one would have to be sent. In a recent shipment, a SRS of 80 potatoes was selected and 7 had blemishes. Does this sample provide sufficient evidence that the criteria hasn’t been met and the shipment should be returned? Use α = 0.01.

• Since p-value = .4013 > .01, I reject H₀. There is not sufficient evidence to suggest that the shipment should be returned.

• Since p-value = .4013 > .01, I reject H₀. There is sufficient evidence to suggest that the shipment should be returned.

• Since p-value = .4013 < .01, I fail to reject H₀. There is sufficient evidence to suggest that the shipment should be returned.

• Since p-value = .4013 > .01, I fail to reject H₀. There is not sufficient evidence to suggest that the shipment should be returned.

When performing a test about means where the population standard deviation is unknown, what distribution would you need to use?

• z-test

• t-test

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a α=0.01 level of significance.

• Z Test

• T Test

• 1-Prop Z Test

• X² Test

• Reject the Null

• Fail to Reject the Null

• Accept the Null