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Chapter 7: Q. 44 (page 441)

The magazine Sports Illustrated asked a random sample of 750Division I college athletes, 鈥淒o you believe performance-enhancing 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.

The standard deviation of the sampling distribution is about

(a) 0.0006.

(b) 0.033.

(c) 0.017.

(d) 0.

(e) None of these.

Short Answer

Expert verified

(c)蟽p^=0.017

Step by step solution

01

Given Information

Given

p=30%=0.30

n=750

02

Explanation

The standard deviation of the sampling distribution of the sample proportion p^is equal to:

蟽p^=p(1-p)n=0.30(1-0.30)750鈮�0.0167332鈮�0.017

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