Tonya wants to estimate what proportion of her school’s seniors plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom.a) Find the Margin of Error and Construction 95% Confidence Interval.b)How large of a sample is required to obtain a margin of error of 0.03 or 3%?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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Tonya wants to estimate what proportion of her school’s seniors plan to attend the prom. She
interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom.
a) Find the Margin of Error and Construction 95% Confidence Interval.
b)How large of a sample is required to obtain a margin of error of 0.03 or 3%? 

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