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Chapter 7: Q 47. (page 464)

The magazine Sports Illustrated asked a random sample of 750Division I college athletes, 鈥淒o you believe performanceenhancing drugs are a problem in college sports?鈥� Suppose that 30%of all Division I athletes think that these drugs are a problem. Let p^ be the sample proportion who say

that these drugs are a problem.

Which of the following are the mean and standard deviation of the sampling distribution of the sample proportion p^?

Mean=0.30,SD=0.017

b. Mean =0.30,SD=0.55

c. Mean =0.30,SD=0.0003

d. Mean =225,SD=12.5

e. Mean =225,SD=157.5

Short Answer

Expert verified

The correct option is (a) Mean =0.30,SD=0.017

Step by step solution

01

Given information

p=0.30n=750

02

Concept

蟽p^=p(1鈭�p)n

03

Calculation

渭p^=p=0.30蟽p^=p(1鈭�p)n=0.30(1鈭�0.30)750=0.017

As a result, the sample percentage sampling distribution has a mean of 0.30 and a standard deviation of 0.017 Hence, the correct option is (a)

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