Assuming a Random Sample from a Large Population, for Which $z$

Essay

Assuming a random sample from a large population, for which of the following null hypotheses and sample sizes is the large-sample $z$ test appropriate? Show the calculations leading to your responses.
a) $H _ { 0 } : p = 0.72 , n = 25$





b) $H _ { 0 } : p = 0.40 , n = 200$