Ch. 9 Day 1 Hypotheses

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 (or one more extreme) if the null hypothesis is true
• probability of a Type I error

Tags

CCSS.7.RP.A.2D

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

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.5

Suppose the P-value for a hypothesis test is 0.0304.  Using a = 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 performing a test about the population mean, what distribution would you need to use?  (Population standard deviation is not know.)

• z
• t
• chi-square

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

State the null hypothesis for the given alternative hypothesis: "The average dog owner owns more than two cats."

• The average dog owner owns two or more cats.

• The average dog owner owns less than two cats.

• The average dog owner owns two cats.

• None of the above.

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

State the null hypothesis for the given alternative hypothesis: "The average computer gamer owns more than four games."

• The average computer gamer owns greater than four games.

• The average computer gamer owns four or fewer games.

• The average computer gamer owns four games.

• None of the above.