Statistical Hypotheses

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"

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

Suppose that the present success rate in treating a certain type of lung cancer is .75. A research group hopes to demonstrate that the success rate of a new treatment of this cancer is better. What are the null and alternative hypotheses?

• H_o : p = 0.25, H_a : p > 0.55

• H_o : p < 0.75, H_a : p > 0.35

• H_o : p = 0.75, H_a : p > 0.75

• None of these.

At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?

• H_o : μ = 17, H_a : μ ≠ 19

• H_o : μ = 19, H_a : μ ≠ 19

• H_o : μ = 19, H_a : μ ≠ 17

• H_o : μ = 17, H_a : μ ≠ 17

Write the alternative hypothesis for the following question: H_o : p = 0.55 and the test is right sided.

• H_a : p > 0.55

• H_a : p < 0.55

• H_a : p ≤ 0.55

• H_a : p = 0.55

Write the alternative hypothesis for the following question: H_o : p = 0.35 and the test is left-sided.

• H_a : p > 0.35

• H_a : p ≤ 0.35

• H_a : p = 0.35

• H_a : p < 0.35

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

Which of the following shows a right-tailed test?

• H₁: µ < 15
• H₀: µ < 15
• H₁: µ > 15
• H₀: µ > 15

Identify the correct null hypothesis:

• 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"