Use the following information to answer the next 2 questions) Is the proportion

Question

Use the following information to answer the next 2 questions) Is the proportion of Republicans who are confident in the federal government differs from the proportion of all Americans (0.70) who were confident in the federal government? The General Social Survey asked 65 randomly selected Republicans, "How confident are you in the federal government?" 60% said they were at least somewhat confident. Test the hypotheses Hop- 0.7 vs. Ha: p 0.7 p= 0.7 n-us 11) Are the assumptions met for conducting the hypotheses? a) Yes, since npo> 10 and n(1 -po)> 10, and the Republicans are randomly selected. No, because n(L-m) 10. c) Yes, because n >30 and the Republicans are randomly selected. d) No, because the proportion is probably not normally distributed. e) No, because the sample proportion is too small. 12) Regardless of your answer above, assume all assumptions are met. The test statistic was -1.76. Calculate the p-value for our hypotheses. Find the closest answer. Ts -110 a) 0.0196 b) 0.0392 c)) 0.0784 0.1568 -e) 0.9668-

Explanation / Answer

sol:

two tail p value

here not t

z=-1.76

n=65

sample prop=0.6

alpha=0.05

need to find probability

P(Z<-1.76)

But

P(Z<-1.76)=1-P(Z<1.76)

=1-0.9608

since from standard normal tablesP(Z<1.76)=0.9608

P(z<-1.76)=0.0392

probaility=palue=0.0392

SINCE IT IS TWO TAIL TEST

TWICE THE VALUE OF P

=2*0.0392

=0.0784

option C

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