Question

For a certain population of sea urchins, 16% are longer than 8 inches. A random sample of 75 sea urchins will be selected. What is the standard deviation of the sampling distribution of the sample proportion of sea urchins longer than 8 inches for samples of size 75?

Answer 1

0.042

Explanation:

Given :

p = 16% = 0.16

q = 1 - p = 1 - 0.16 = 0.84

Sample size, n = 75

The standard deviation of sampling distribution :

√(pq)/n

√(0.16 * 0.84) / 75

√0.1344 / 75

√0.001792

Standard deviation of sampling distribution = 0.0423320