Describe the sampling distribution of p. Assume the size of the population is 20,000.
n=700, p=0.5
Determine the mean of the sampling distribution of
mu Subscript ModifyingAbove p with caret Baseline equals
μp=____
(Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of
sigma Subscript ModifyingAbove p with caret Baseline equals
σp=____
(Round to three decimal places as needed.)
Solution
Given that,
p = 0.5
1 - p = 1 - 0.5 = 0.5
n = 700
The mean of the sampling distribution of proportion is ,
= p = 0.5
The standard deviation of the sampling distribution is ,
= p ( 1 - p ) / n
= (0.5 * 0.5) / 700 = 0.019
= 0.019
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