MATH 1200 Hypothesis Tests

The claim being assessed in a hypothesis test

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

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 statistic given the null hypothesis is true
• the probability that the null is true given the observed statistic

What is the 5 steps procedure for hypothesis testing?

• 1) State the hypotheses and identify the claim

  2) Find the critical value

  3) Compute the test value

  4) Summarize the results

  5) Make the decision (reject or not reject)

• 1) State the hypotheses and identify the claim

  2) Compute the test value

  3) Find the critical value

  4) Make the decision (reject or not reject)

  5) Summarize the results

• 1) State the hypotheses and identify the claim

  2) Find the critical value

  3) Compute the test value

  4) Make the decision (reject or not reject)

  5) Summarize the results

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: p=.21
  Ha: p > .21
• Ho: p< .21
  Ha: p= .21
• Ho: p> .21
  Ha: p= .21
• Ho: p= .21
  Ha: p< .21

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"

When p-value is greater than alpha we:

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha

A mayor is concerned about the percentage of city residents who express disapproval of his job performance. He hopes his disapproval rating is less than 25%. What type of test should he perform?

• 1 Sample Z test

• 1 Sample T test

• 1 Proportion Z test

• Matched Pair T test

Which team is a better offensive powerhouse: Yough Softball or Mt. Pleasant Softball. Which test would you perform to figure it out?

• 2 Sample Z test

• 2 Sample T test

• 2 Proportion Z test

• Matched Pair T test

Which of the following best describes a type II error?

• The null is true, but we mistakenly reject it.

• The null is false and we reject it.

• The null is false, but we fail to reject it.

• The null is true but we fail to reject it.

• Te null is false, and we reject it.

Which of the following best describes a Type I error?

• The null is true, but we mistakenly reject it.
• The null is false and we reject it.
• The null is false, but we fail to reject it.
• The null is true but we fail to reject it.

Tags

CCSS.HSS.IC.B.3