Homework: S8;2_Sampling Distribution of Sample Proportion Score: 0.38 of 1 pt Hw

Question

Homework: S8;2_Sampling Distribution of Sample Proportion Score: 0.38 of 1 pt Hw Score: 60 14%, 54101 9 pts %) 8.2.21-T Exit polling is a popular technique used to determine the outcome of an dangers of using exit polling to call elections are the results of your sample i& the population peoportion of voters in the town in favor of the ernu is 045 Based on your resul coment on the The probability that moro than 260 people voted for tho referendmhD (Round to four decimal places as needed) part

Explanation / Answer

Here sample proportion p^ = 260/500 = 0.52

standard error of proportion = sqrt[0.49 * 0.51/500] = 0.02236

Here we have to find

Pr(p^ > 0.52 ; 0.49 ; 0.02236) by normal distribution

Z = (0.52 - 0.49)/ 0.02236 = 1.342

Pr(p^ > 0.52 ; 0.49 ; 0.02236) = Pr(Z > 1.342) = 1 - Pr(Z < 1.342) = 1 - 0.9102 = 0.0898

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