sorry about the long question, but I'm a little confused about this question. Would the final sample size of n = 2305? (i.e n >= 2305) or are we using Po = 0.32 instead of Po = 0.6? If so then we should accept Ho I think. **Problem** :: Prob 1) (Answer the following only: (a) Test H0:p=0.60 vs Ha:p≠0.60 at the α=0.05 significance level using a 3-step score test, (b) find the p−value for the test, (c) find a 95% Wald CI for p, (d) find a 95% Agresti-Coull CI for p.) Prob 1) In the newspaper article referred to in Exercise A), 32% of the 1600 adults polled said the U.S. space program should emphasize scientific exploration. How large a sample of adults is needed for the poll if one wishes to be 95% confident that the estimated per- centage will be within 2% of the true percentage?
question: sorry about the long question, but I'm a little confused about this question. Would the final
**Problem** :: Prob 1) (Answer the following only: (a) Test H0:p=0.60 vs Ha:p≠0.60 at the α=0.05 significance level using a 3-step score test, (b) find the p−value for the test, (c) find a 95% Wald CI for p, (d) find a 95% Agresti-Coull CI for p.)
Prob 1) In the newspaper article referred to in Exercise
A), 32% of the 1600 adults polled said the U.S. space
program should emphasize scientific exploration. How
large a sample of adults is needed for the poll if one
wishes to be 95% confident that the estimated per-
centage will be within 2% of the true percentage?
// reference only
A) (a) According to a report in the Roanoke Times
& World-News, approximately 2/3 of 1600 adults
polled by telephone said they think the space shut-
tle program is a good investment for the country.
Find a 95% confidence interval for the proportion of
American adults who think the space shuttle pro-
gram is a good investment for the country.
(b) What can we assert with 95% confidence about the
possible size of our error if we estimate the propor-
tion of American adults who think the space shuttle
program is a good investment to be 2/3?
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