Suppose that a national poll of 300 registered Republicans was conducted this week and 165 stated that they preferred Donald Trump to be the 2024 Republican candidate for President. (a) Based solely on the polling data described in the question, what is the 90% confidence interval within which we would expect the true population proportion to fall (to 4 decimal places)? (b) Based solely on your confidence interval in part (d) -- assuming there are no sorts of error other than sampling "error" -- can we be 90% sure that the true population proportion supporting Trump at the time of the survey is greater than one-half? How do you reach this conclusion?
Suppose that a national poll of 300 registered Republicans was conducted this week and 165 stated that they preferred Donald Trump to be the 2024 Republican candidate for President. (a) Based solely on the polling data described in the question, what is the 90% confidence interval within which we would expect the true population proportion to fall (to 4 decimal places)? (b) Based solely on your confidence interval in part (d) -- assuming there are no sorts of error other than sampling "error" -- can we be 90% sure that the true population proportion supporting Trump at the time of the survey is greater than one-half? How do you reach this conclusion?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that a national poll of 300 registered Republicans was conducted this week and 165 stated that they preferred Donald Trump to be the 2024 Republican candidate for President.
(a) Based solely on the polling data described in the question, what is the 90% confidence interval within which we would expect the true population proportion to fall (to 4 decimal places)?
(b) Based solely on your confidence interval in part (d) -- assuming there are no sorts of error other than sampling "error" -- can we be 90% sure that the true population proportion supporting Trump at the time of the survey is greater than one-half? How do you reach this conclusion?
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