In a survey of 550 of voters, 255 responded that they would vote Republican and

Question

In a survey of 550 of voters, 255 responded that they would vote Republican and 295 responded that they would vote Democratic. Let p denote the fraction of voters who preferred the Republicans. 16) The standard error of the estimator P is: A) 0.0004 B) 0.0213 C 02490 (D)l0.5364 17) What is the p-value for the test Ho: p 0.5 vs. H: p 0.5? A).0436 B) 0.2490 C)0.0872 D) 0.536 18) The 95% confidence interval for p is A) (0.4219, 0.5053) B) (0.0086, 0.0785) C) (-00019, 00852) D) (-0.0110, 0.0982) The next 2 questions are based on the following information:

Explanation / Answer

16) Standard Error, SE = sqrt((p*(1-p)/n) = sqrt((255/550)*(1 - 255/550)/550) = 0.0213 Option B

17) z = (p - 0.5)/SE = ((255/550) - 0.5)/0.0213 = -1.7101
p = 0.0872 (for a two tailed test) option C

18) 95% CI = p +/- zcrit * SE = (255/550) +/- 1.96*0.0213 =(0.4219, 0.5053) option A

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