AP Statistics Hypothesis Tests for Means

A hypothesis test tests the null hypothesis Ho: μ = 20 against the alternative hypothesis Ha: μ ≠ 20 at a significance level of alpha.  If the same procedure is used to test Ho: μ = 20 against Ha: μ > 20 with the same data then the p-value will

• increase
• decrease
• remain the same
• be doubled

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

• using a small level of significance
• using a large level of significance
• obtaining data with a small p-value
• obtaining data with a low test statistic

In their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twenty-five people to be placed on this diet. The agency should be testing the null hypothesis H₀: m = 10 and the alternative hypothesis

• Ha: μ < 10
• Ha: μ > 10
• Ha: μ ≥ 10
• Ha: μ ≤ 10

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

• z

• t

• chi-square

• cannot determine

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

• z

• t

• chi-square

• cannot determine

A P-value indicates:

• the probability that the null hypothesis is true

• the probability that the alternative hypothesis is true

• the probability of obtaining the results as extreme as ours, if the null hypothesis is true

• probability of a Type I error

Identify the correct null hypothesis:

• H₀: p = 0.50

• H₀: µ ≠ 0.50

• H₀: p = 0.48

• H₀: µ = 96

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 α = 0.05, what is the appropriate conclusion?

• a) reject the null

• b) reject the alternative

• c) Accept the null

• d) Fail to reject the alternative

When p-value is greater than alpha we:

• Reject Ho

• Accept Ha

• Accept Ho

• Fail to Reject Ho