A political pollster is conducting an analysis of sample results in order to mak

Question

A political pollster is conducting an analysis of sample results in order to make predictions on election right. Assuming a two-candidate election. If a specific candidate receives at 54% of the vote is the sample, that candidate will be forecast as the winner of the election. You select a random sample of 100 voters. Complete parts (a through (c) below. a. What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%? The probability is that a candidate will be forecast as the winner when the population percentage of her vote is 50.1% (Round to four decimal places as needed.)

Explanation / Answer

Solution:

Given = 0.501,p = (1- )/n
= (0.501(1-0.0501)/100
= 0.05.
P (p > 0.55) = P (Z > 0.98) = 1.0 – 0.8365 – 0.1035
= 0.06

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