Question

(a) According to a report in the Roanoke Times, approximately $2 / 3$ of 1600 adults polled by telephone said they think the space shuttle program is a good investment for the country. Find a $95 \%$ confidence interval for the proportion of American adults who think the space shuttle program 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 proportion of American adults who think the space shuttle program is a good investment to be $2 / 3 ?$

          (a) According to a report in the Roanoke Times, approximately $2 / 3$ of 1600 adults polled by telephone said they think the space shuttle program is a good investment for the country. Find a $95 \%$ confidence interval for the proportion of American adults who think the space shuttle program 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 proportion of American adults who think the space shuttle program is a good investment to be $2 / 3 ?$

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