Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 6 - Normal Probability Distributions - 6-4 Sampling Distributions and Estimators - Basic Skills and Concepts - Page 283: 16



Work Step by Step

We know that the proportions are as follows: Proportion of girls, probability 0, 1/8 1/3, 3/8 2/3, 3/8 1, 1/8 We know the sample proportion is $1/2$. Hence, using the table above, we find that the population proportion is: $1/3(3/8)+2/3(3/8)+1/1(1/8)=0.5$ We see that the sample proportion is an unbiased predictor of the population proportion, because the sample and population proportions are the same.
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