A collage professor would like to estimate the proportion of students who pull an *all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who have pulled an all-nighter to be 0.48 to 0.62. If the professor had randomly selected 50 students rather than 100 students, what effect would this have had on the width of the interval? O it would have doubled. O It would have been cut in half. O it would have remained the same. O it would have been larger, but it would not have doubled.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A collage professor would like to estimate the proportion of students who pull an *all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who have pulled an all-nighter to be 0.48 to 0.62. If the professor had randomly selected 50 students rather than 100 students, what effect would this have had on the width of the interval? O it would have doubled. O It would have been cut in half. O it would have remained the same. O it would have been larger, but it would not have doubled.
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