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Chapter 10: Q. AP3.3 (page 701)

Sports Illustrated planned to ask a random sample of Division I college athletes, 鈥淒o you believe performance-enhancing drugs are a problem in college sports?鈥� Which of the following is the smallest number of athletes that must be interviewed to estimate the true proportion who believe performance-enhancing drugs are a problem within 卤2% with 90% confidence?

a.17b.21c.1680d.1702e.2401

Short Answer

Expert verified

The correct optionis

a.n=z伪/220.25ME2=1.652脳0.250.022鈮�1702

Step by step solution

01

Given information

We have to find the smallest number of athletes that must be interviewed to estimate the true proportion.

02

Explanation 

Formula sample size:

p^known:n=z伪/22p^q^ME2=z伪/22p^(1-p^)ME2

p^unknown:n=z伪/220.25ME2

the sample size is:

n=z伪/220.25ME2=1.652脳0.250.022鈮�1702

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