Question

1) Suppose that your hypotheses are H0: π = 0.25 and Ha: π < 0.25. In the context of these hypotheses, which of the following standardized statistics would provide the strongest evidence against the null hypothesis and for the alternative hypothesis? Why?

A. z = –1

B. z = 0

C. z = 3

D. z = –1.80

2) Suppose you are testing the hypothesis H0: π = 0.50 versus Ha: π > 0.50. You get a sample proportion of 0.54 and find that your p-value is 0.08. Now suppose you redid your study with each of the following changes. Will your new p-value be larger or smaller than the 0.08 your first obtained?

a. You increase the sample size and still find a sample proportion of 0.54.

b. Keeping the sample size the same, you take a new sample and find a sample proportion of 0.55.

c. With your original sample, you decided to test a two-sided alternative instead of Ha: π > 0.50.

Answer 1