When testing a hypothesis of a population proportion checkin

When testing a hypothesis of a population proportion, checking that the number of successes, x, and the number of failures (n-x) are both greater than 5

a)Satisfies the requirement that the sample came from a normal distribution

OR

b)Satisfies the requirement that the sampling distributions of the sample proportion is approximatently a normal distrubution

Solution

(B) is correct, normal apporixmation of sample means i.e, CLT holds when samepl size is more than30. but sampling distribution of proportion or binomial variable requires condition as stated in question.