Micheal is running for president. The proportion of voters who favor Micheal is 0.8. A random sample of 100 voters is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of p̂? b. What is the probability that the number of voters in the sample who will not favor Micheal will be between 26 and 30? c. What is the probability that the number of voters in the sample who will not favor Micheal will be more than 16?

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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Micheal is running for president. The proportion of voters who favor Micheal is 0.8. A random sample of 100 voters is taken.

a. What are the expected value, standard deviation, and shape of the sampling distribution of p̂?

b. What is the probability that the number of voters in the sample who will not favor Micheal will be between 26 and 30?

c. What is the probability that the number of voters in the sample who will not favor Micheal will be more than 16?

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