Question

If a population proportion is believed to be​ 0.6, how many items must be sampled to ensure that the sampling distribution of ModifyingAbove p with caret will be approximately​ normal? Assume that the size of the population is Upper N equals 10 comma 000.

Answer 1

5

Explanation:

To solve this we have to make reference to what we already know.

We already know that for normality assumptions np and nq values need to be greater than or equal to 5.

Hence, given;

P = 0.6

q = 1 – p = 1 – 0.6 = 0.4

n = 13

np = 13 * 0.6 = 7.8 > 5

nq = 13 *0.6 = 5.2 > 5

Answer 2

The answer is 5

Explanation:

From the question given, we have to make reference to what we already know.

Recall that, for normality assumptions np and nq values need to be greater than or equal to 5.

Hence,

P = 0.6, where p = population proportion

q = 1 – p=

1 – 0.6 = 0.4

n = 13

thus,

np = 13 x 0.6 = 7.8 > 5

Therefore,

nq = 13 x 0.6 = 5.2 > 5