Suppose you are testing the hypotheses H 0 : = 0.25 and H a :

Suppose you are testing the hypotheses H₀: π = 0.25 and H_a: π < 0.25 and the observed statistic, p̂ is equal to 0.30 with a sample size of 100.

a. If you are using a proportion as your statistic, where do you expect your null distribution to be centered? 

b. If you are using a count as your statistic, where do you expect your null distribution to be centered?