Statistics Hypothesis Testing

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

My weight is in the 50th percentile. A researcher wants to see if checking my weight every day will change my weight. Is this one tailed or two tailed?

• Left tailed

• right tailed

• two tailed

What is the only option for the null hypothesis?

• H₀ = k

• H₀ > k

• H₀ < k

• H₀ ≠ k

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

• H₀: p = 0.50

• H₀: µ = 100

• H₀: p = 0.48

• H₀: µ = 96

When determining the conclusion of a hypothesis test with alpha = 5%, which of the following is true?

• If the p-value is less than 5%, then we fail to reject the null hypothesis.

• If the p-value is less than 5%, then we reject the null hypothesis.

• If the p-value is more than 5%, the we reject the null hypothesis.

• We need more information.

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

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• Reject the null hypothesis

• Reject the alternative hypothesis

• Fail to reject the null hypothesis

• Fail to reject the alternative hypothesis

When p-value is greater than alpha we:

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha