Question

Step 1

The provided information are:

Population size, (*N*) = 20,000

Sample size (*n*)* = *50

Population proportion (*p*) = 0.4

(a)

Sampling distribution of *p̂* is said to be approximately normal distributed, if following conditions are satisfied:

Step 2

Now substitute the provided values in above conditions as:

Step 3

Mean of the sampling distribution of *p...*

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