Hypothesis Test and Confidence Intervals Test 1

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"

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

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

When p-value is greater than alpha we:

• Reject Ho

• Accept Ha

• Fail to reject Ho

• Reject Ho

When performing a test about the population proportion, what distribution would you need to use? 

• z
• t
• chi-square

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.B.4

CCSS.HSS.IC.A.1

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 alternative hypothesis.

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

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

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

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.IC.A.1