A candidate for office intends to campaign in a state if her initial support level exceeds 30% of the voters. A random sample of 300 voters is taken, and it is decided to campaign if the sample proportion supporting the candidate exceeds 0.28.a. What is the probability of a decision not to campaign if, in fact, the initial support level is 20%?b. What is the probability of a decision not to campaign if, in fact, the initial support level is 40%?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A candidate for office intends to campaign in a state if her initial support level exceeds 30% of the voters. A random sample of 300 voters is taken, and it is decided to campaign if the sample proportion supporting the candidate exceeds 0.28.
a. What is the probability of a decision not to campaign if, in fact, the initial support level is 20%?
b. What is the probability of a decision not to campaign if, in fact, the initial support level is 40%?

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