Suppose that a particular candidate for public office is in fact favored by 48% of all registered voters in the district. A polling organization takes a random sample of 500 voters and will use the sample proportion to estimate the population proportion. What is the approximate probability that the sample proportion will be greater than 0.5? This has the effect of the polling organization incorrectly predicting the result of the upcoming election.
Answer
a. 0.8159
b. 0.02234
c. 0.1841
d. 0.48