According to a recent survey, 47.9 percent of housing units in a large city are rentals. A sample of 210 housing units will be randomly selected.

Which of the following must be true for the sampling distribution of the sample proportion of housing units in the large city that are rentals to be approximately normal?

A) The distribution of the population must be approximately normal.

B) The sample size must be greater than 30.

C) The sample size must be less than 10 percent of the size of the population.

D) The values of 210 (0.479) and 210 (0.521) must be at least 10.

(E) The value of 0.479 (0.521) 2 must be at least 10.

Question

Mathematics

Korbin Conrad

26 November, 20:06

According to a recent survey, 47.9 percent of housing units in a large city are rentals. A sample of 210 housing units will be randomly selected.

Which of the following must be true for the sampling distribution of the sample proportion of housing units in the large city that are rentals to be approximately normal?

A) The distribution of the population must be approximately normal.

B) The sample size must be greater than 30.

C) The sample size must be less than 10 percent of the size of the population.

D) The values of 210 (0.479) and 210 (0.521) must be at least 10.

(E) The value of 0.479 (0.521) 2 must be at least 10.

+5

Answers (1)

Know the Answer?

Mike Mckenzie · Answer 1

B) The sample size must be greater than 30

Step-by-step explanation:

According to the central limit theorem the sample size must be greater than 30 in sampling distributions to state that it is approximately normal.

Therefore, the sample size must be greater than 30 for the sampling distribution of the sample proportion of housing units in the large city that are rentals to be approximately normal.