Statistics Review

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. What is the appropriate conclusion?

• a) reject the null

• b) reject the alternative

• c) Accept the null

• d) Fail to reject the alternative

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.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.IC.B.5

Which of the following shows a right-tailed test?

• Ha: µ < 15
• H₀: µ < 15
• Ha: µ > 15
• H₀: µ > 15

A car manufacturer advertises that its new subcompact models get an mean of 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated? 

• H₀ p= 47
  H_a = 47
• H₀ µ= 47
  H_a < 47
• Ha p= 47
  H_a > 47
• Ha µ= 47
  H_a ≠ 47

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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

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

Tags

CCSS.HSS.IC.B.5

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the null hypothesis.

• H_o: p <.5, where p is the true proportion of Americans who can name one justice currently serving.

• H_o:p >.5 where p is the true proportion of Americans who can name one justice currently serving.

• H_o:p =.5 where p is the true proportion of Americans who can name one justice currently serving.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Which of the following is not an option for an alternate hypothesis? 

• H_a = k
• H_a > k
• H_a < k
• H_a ≠ k

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs. What is the null and alternate hypothesis? 

• H₀ = 18.4
  H_a = 18.4
• H₀ = 18.4
  H_a > 18.4
• H₀ = 18.4
  H_a < 18.4
• H₀ = 18.4
  H_a ≠ 18.4