Question

38. A congressional candidate is running for reelection. In a recent poll of 900 registered voters, 510 said that they will vote for the candidate in the upcoming election. (round your answers to four decimal places) part a: Calculate and report the sample proportion part b: Calculate and report the margin of error for this poll for a 95% confidence interval. part c: Calculate and report the 95% confidence interval for the population proportion of registered voters who will vote for the incumbent candidate.

Answer 1

bolun: A recent poll 0% 900 registered voleys : 510 said that they will vote for the candidate in upcoming elechon .. n=900 H-510 part a: bample proportion A x Þ = n 510 goo · þ- 0.5664 (bample proportion) Part b: 95%, condidence => d=0.05 d12=0.025 i ; Zain = 1.96 .: margin of eryoy for CI 0% populalion proportion is .E Å (1-² -1.96 * 0.5667* (1-0.5667) 900 Zain * n E=0.0324 = 0.0324 margin of erroy Bov poll = E=0.0324 Port C : Confidence interval Bor population proportion is given by þ + E ; where E is margin of error = Ô (1-Å tala n & lower Limit 0.5667 -0.0324 Lower limit= 0.5343 : upper Limit Þ+E = 0.5667 +0.0324 ... upper limit = 0.599) :95% con didence interval for population propoy Hon of registered voters who will wole Boy incumbent candidate is, (0.5843,0.5991)