Describe the sampling distribution of p. Assume the size of the population is 30,000. n=800, p=0.4 Choose the phrase that best describes the shape of the sampling distribution of p below.
A.
Not normal because
n≤0.05N
and np(1−p)≥10.
B.Not normal because
n≤0.05N
and np(1−p)<10.
C.Approximately normal because
n≤0.05N
and np(1−p)<10.
D.Approximately normal because
n≤0.05N
and np(1−p)≥10.
Determine the standard deviation of the sampling distribution of p.
Solution
Given that,
p = 0.4
1 - p = 1 - 0.4 = 0.6
n = 800
D.Approximately normal because n≤0.05N and np(1−p)≥10.
= p = 0.4
[p ( 1 - p ) / n] = [(0.4 * 0.6) / 800 ] = 0.0173
Describe the sampling distribution of p. Assume the size of the population is 30,000. n=800, p=0.4...
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