Question

suppose you are testing the hypothesis H0: π=0.50H0: π=0.50 versus Ha: π>0.50Ha: 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?

1. You increase the sample size and still find a sample proportion of 0.54.
2. Keeping the sample size the same, you take a new sample and find a sample proportion of 0.55.
3. With your original sample, you decided to test a two-sided alternative instead of Ha: π>0.50Ha: π>0.50.

Answer 1