Question

Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they felt political news was reported fairly. The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly. Suppose we want to determine if the proportion for the U.S. is below.50 for an alpha level of .05. What is conclusion of my test? O I would reject Ho: P=.5 because the test statistic is less than -1.645 O I would reject Ho: P=.5 because the test statistic is greater than 1.645 O I would fail to reject Ho: P=.5 because the test statistic is greater than -1.96 O I would fail to reject Ho: P=.5 because the p-value is greater than .05

Answer 1

- Yes n=1000 x=470 Claim P20.50 sample onim P = 2 = 470 TO00 out Poopostim - 22005 :p. € 0.50 Hip <0.50 left me critical value with x=0.05 - Rexect - Test to if Zc-1645 - P-P 0.47-0.50 Police OS11-0.5) Statistil - Toon 2 =-1.897 23-1897 -1.645 I would retect Hoi P = 0.50 because test statistic is less than lotus A) - Co M=1327 claim Ms1327 T = 1491.43 5 = U11.53 C.V=27.59 Standard essor N=14 se s x=0.05 U11.53 Standard Se = 109.986 error = (109.986)

n=1058 1 = 508 claim p 80.50 508 ahool ... - = 0.48015 _ P=0.418 Test Statistit 0.48 -0.50 RS(1-05) 1058 Z=-1,301 P-value = 2 pl Z22) = 2 pl 22-1:30) - = 200.0966). 30.1932 (P-value = 0.1932) p-value greater than 0.05. - fail to reject the There is no strong evidence to that proposta was different conclude from our