In: Statistics and Probability
Suppose a candidate running for Senate in a two-person race commissions a poll of 500 voters and finds that 48 percent are planning on voting for her. The remaining voters in the sample say they are voting for her opponent.
a. What is p-hat?
b. What is the standard error of p-hat?
c. With this estimate of p-hat, the researcher can be sure with 68% confidence that the candidate's true level of support in the population is within what range? What about a 95% confidence interval?
d. Is it unreasonable to say that there is a decent chance that the candidate who commissioned the poll might win this race if the election were held today? Why or why not?
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