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Of 257 randomly selected statistics graduate students, 72 said that they planned to work as university faculty. Construct a 99% confidence interval for the proportion

Of 257 randomly selected statistics graduate students, 72 said that they planned to work as university faculty.Construct a 99% confidence intervalfor the proportion of all statistics graduate students who plan to work as university faculty and convert your results to percentages.

(20.81%, 35.23%)

(22.41%, 35.63%)

(20.19%, 36.85%)

(19.81%, 35.62%)

(21.21%, 32.83%)

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