Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0-32191-121-0
ISBN 13: 978-0-32191-121-6

Chapter 6 - Confidence Intervals - Section 6.3 Confidence Intervals for Population Proportions - Exercises - Page 325: 4

Answer

$\hat{p}$ = 0.830 $\hat{q}$ = 0.170

Work Step by Step

i) The point estimate of the population proportion is given by $\hat{p}$ = $\frac{x}{n}$. Here, $x$ represents the # of successes and n represents the sample size. n = 2939, $x$ = 2439 Therefore, $\hat{p}$ = $\frac{x}{n}$ = $\frac{2439}{2939}$ = 0.8298 $\approx$ 0.830 ii) $\hat{q}$ = 1 - $\hat{p}$ $\hat{q}$ = 1 - 0.830 $\hat{q}$ = 0.170
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