. Suppose that at a large university, 40% of the males and 50% of the females voted in the last U.S. presidential election. José plans to take a random sample of 100 of the males and compute the sample proportion who voted. Independently, Anya plans to take a random sample of 150 of the females and compute the sample proportion who voted. What is the standard deviation of the distribution of all possible differences in the sample proportions José and Anya could obtain? 45 (A) √250 0.45(0.55) 250 402 502 100 150 0.40(0.60) 0.50(0.50) + 100 150 0.40(0.60) 0.50(0.50) (E) 100 150

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
. Suppose that at a large university, 40% of the males and 50% of the females voted in the last U.S.
presidential election. José plans to take a random sample of 100 of the males and compute the
sample proportion who voted. Independently, Anya plans to take a random sample of 150 of the
females and compute the sample proportion who voted. What is the standard deviation of the
distribution of all possible differences in the sample proportions José and Anya could obtain?
45
(A)
√250
0.45(0.55)
250
402 502
100 150
0.40(0.60) 0.50(0.50)
+
100
150
0.40(0.60) 0.50(0.50)
(E)
100
150
Transcribed Image Text:. Suppose that at a large university, 40% of the males and 50% of the females voted in the last U.S. presidential election. José plans to take a random sample of 100 of the males and compute the sample proportion who voted. Independently, Anya plans to take a random sample of 150 of the females and compute the sample proportion who voted. What is the standard deviation of the distribution of all possible differences in the sample proportions José and Anya could obtain? 45 (A) √250 0.45(0.55) 250 402 502 100 150 0.40(0.60) 0.50(0.50) + 100 150 0.40(0.60) 0.50(0.50) (E) 100 150
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