Question

show your workings

In a survey of 400 likely voters, 213 responded that they would vote for the incumbent and 187 responded that they would vote for the challenger. Let p denote the fraction of all likely voters who preferred the incumbent at the time of the survey, and lot be the fraction of survey respondents who preferred the incumbent. Using the survey to the estimated value of pis 0.5325. Round your response to four decimal places.) Using Pt-pyn as the estimator of the variance of the standard error of the estimator is 0.0240 Round your response to four decimal places) The p-value for the best H p.05 versus H:#05 is 0.194. (Round your response to three decimal places) The p-value for the test p05 versus Hp>0.5 is Round your response to three decimal places)

Answer 1

Solution : Giren survey of you likely sotess, 213 responded that they vote for incumbent, 187 respondend that they would vote for chaillenger. P = fraction of all likely voters who vote for incumbent P = suney respondents traction who prefer for inambent value of F is: Â = 213/400 = 10-8328 ê, then SD 98: Ô C1-P) is the variance of So = FP Campy r6.5395) (1-0.5325) Hoo = 56.5325) (0.4670)/400

0.24894375 you - Jo.000622359375 (hbh20.0] = pvalue for test Ho: p=0.5 He:P +0.59 18: n=400 = 213 p= 213 400 - 0.5325 =P-P Test statistici z z = 0.5325-0.5 56.5) (1-08) 400 400 = 0.03251.568.06.97 = 0.0328%0025 = (1-3) - 0-