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About 75%of young adult Internet users (ages 18 to 29) watch online video. Suppose that a sample survey contacts an SRS of 1000 young adult Internet users and calculates the proportion p^in this sample who watch online video.

4. If the sample size were 9000 rather than 1000 , how would this change the sampling distribution of p^?

Short Answer

Expert verified

The sampling distribution of p^is 0.0046if the sample size were 9000rather than1000.

Step by step solution

01

Given Information

Population proportion(p)=75%=0.75

Sample size(n)=9000

02

Explanation

Based on the sample size 9000, the mean and standard deviation can be calculated as follows:

localid="1650022248275" p^=p=0.75p^=p(1p)n=0.75(10.75)9000=0.0046

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