Question

Suppose 16% of the listeners of a radio station listen to it while they are at work. What is the approximate standard deviation of the sampling distribution of the proportion for samples of size 72? Responses 0.5% 0.5% 1.9% 1.9% 4.3% 4.3% 9.3%

Answer 1

The approximate standard deviation of the sampling distribution of the proportion for samples of size 72 is 4.3%. Therefore correct option is C

Step-by-step explanation:

The approximate standard deviation of the sampling distribution of the proportion for samples of size 72 can be calculated using the formula:

Standard Deviation ≈ √((p(1-p))/n)

Where p is the proportion and n is the sample size.

In this case, p = 0.16 and n = 72.

Plugging in these values into the formula, we get:

Standard Deviation ≈ √((0.16(1-0.16))/72)

≈ 0.04724

≈ 4.3%