A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain areawho favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, theconfidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that thesample proportion does not change, what would be the relationship between the width of the original confidenceinterval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000viewers in the area?(A) The second confidence interval would be 9 times as wide as the original confidence interval.(B) The second confidence interval would be 3 times as wide as the original confidence interval.(C) The width of the second confidence interval would be equal to the width of the original confidence interval.(D) The second confidence interval would be 1/3 as wide as the original confidence interval.(E) The second confidence interval would be 1/9 as wide as the original confidence interval.
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area
who favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, the
confidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that the
sample proportion does not change, what would be the relationship between the width of the original confidence
interval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000
viewers in the area?
(A) The second confidence interval would be 9 times as wide as the original confidence interval.
(B) The second confidence interval would be 3 times as wide as the original confidence interval.
(C) The width of the second confidence interval would be equal to the width of the original confidence interval.
(D) The second confidence interval would be 1/3 as wide as the original confidence interval.
(E) The second confidence interval would be 1/9 as wide as the original confidence interval.
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