Suppose you are testing the hypotheses H 0 : = 0.50 versus H a :

Suppose you are testing the hypotheses H₀: π = 0.50 versus H_a: π > 0.50. You get a sample proportion of 0.68 and find that your p-value is 0.02. Now suppose you redid your study with each of the following changes, will your new p-value be larger, smaller, or stay the same as the 0.02 you first obtained? Be sure to explain your reasoning. 

a. Keeping the sample size the same, you take a new sample and find a sample proportion of 0.66. 

b. You increase the sample size and still find a sample proportion of 0.68. 

c. You decide to use a two-sided alternative hypothesis (H_a: π ≠ 0.50).