AP Statistics Intro to Hypothesis Testing

Which of the following is the FIRST step of a hypothesis test?

• Check assumptions & conditions
• Find your test statistic
• State your conclusion
• State your null & alternative hypotheses

The claim being assessed in a hypothesis test

• Null hypothesis
• Alternative hypothesis
• P-Value
• Parameter

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

• H₀: p = 0.50

• H₀: µ = 100

• 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"

A P-value indicates:

• the probability that the null hypothesis is true

• the probability that the alternative hypothesis is true

• the probability of the observed results given the null hypothesis is false

• the probability that the null is true given the observed results

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

• a) reject the null, the probability of getting results like this given the null is true is 3.04% which is less than 5%.

• b) reject the alternative, the probability of getting results like this given the alternative is true is 3.04% which is less than 5%.

• c) Accept the null, a 3.04% chance is really not that bad.

• d) Fail to reject the alternative but still don't accept the null.

You perform a One-Proportion z-test on your calculator and get a p-value of 0.87. What do you do?

• Reject the null

• Fail to reject the null

You perform a One-Proportion z-test on your calculator and get a p-value of 0.01987. What do you do?

• Reject the null

• Fail to reject the null

In a research report, the results of a hypothesis test include the phrase " z=3.15, p<0.01". This means that the test failed to reject the null hypothesis.

• True
• False

A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to access effectiveness. What are the correct null and alternative hypotheses?

• Ho: μ > 21

  Ha: μ < 21

• Ho: p > .20

  Ha: p < .20

• Ho: p < .21

  Ha: p > .21

• Ho: p > .21

  Ha: p < .21