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?
1 answer:
Answer:
0.042
Step-by-step 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
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