We would like to test the true proportion using hypothesis t

We would like to test the true proportion using hypothesis testing. In which case, the test procedure is valid using normal distribution?

a. n=100, H0: p=.03

b. n=100, H0: p=.97

c. n=1000, H0: p=.002

d. n=1000, H0: p=.0025

e. n=100, H0: p=.12

The answer is e. Please explain why!

Solution

a. n=100, H0: p=.03
b. n=100, H0: p=.97
c. n=1000, H0: p=.002
d. n=1000, H0: p=.0025
e. n=100, H0: p=.12

Option A, C, D are <0.05 , in such proportion is not a valid scenerio

[ANSWER] e. n=100, H0: p=.12