1. A researcher invented a new drug for baldness and performed a randomized experiment to see if the new drug worked better than the old drug, Rogaine. The new drug performed better in the experiment. The p-value was 0.21.Which of the following statements most accurately describes the implication of that p-value?

a. The new drug is significantly better than Rogaine.

b. We can reject the null hypothesis.

c. It is plausible that the superior performance of the new drug was due to chance.

d. Rogaine is significantly better than the new drug.

1. A manufacturer claims that fewer than 6% of its fax machines are defective. To test this claim, he selectsa random sample of 97 such fax machines and finds that 5% are defective.

Find the P-value for the test of the manufacturer's claim.

a. 0.1591

b. 0.3630

c. 0.3264

d. 0.1736

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 4 in every one thousand.

Assuming that a hypothesis test is conducted to test this claim, identify the null hypothesisH₀and the alternative hypothesisH_a.

a. H₀: p < 0.004

b. H₁: p 0.004

H₀: p > 0.004

c.H₁: p 0.004

H₀: p = 0.004

d. H₁: p > 0.004

H₀: p >0.004

H₁: p < 0.004