Question

Suppose that in the exit poll from the state of Florida during the year 2000 presidential elections in the United States, the pollsters recorded only the votes of the two candidates who had any chance of winning, Democrat Albert Gore and Republican George W. Bush. The polls close at 8:00 PM. The number of votes cast for the Republican in the poll is x 7. n = 765. 407.The sample size is Estimate the population proportion of republican voters with 95% confidence level. a. Estimate the sample size required to estimate the proportion of republicans in the population to within 0.01 of the population value. Use a 95% confidence level. b. Can the television networks conclude from these data that the Republican candidate will win the state? Set up the null and alternative hypothesis, the rejection region and the conclusion of the test. Use a 1% significance level. c. Using the p-value of the test, can the television networks announce a Republican winner? d. The television network would not want to announce a Republican winner when the winner is a Democrat. Compute the Type II error of the test in (c) when indeed the winner is a democrat with 52% voters. e.