Testing a Hypothesis in Statistics

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

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

• H₁: μ < 10

• H₁: μ > 10

• H₁: μ ≥ 10

• H₁: μ ≤ 10

When p-value is greater than alpha we:

• Reject H_o

• Accept H₁

• Accept H_o

• Reject H_o

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

When performing a test about the population mean, what distribution would you need to use?  (Population standard deviation is know.)

• z
• t
• chi-square

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?

• 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