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4) Find the sample size needed to be able to estimate the proportion of students

ID: 3041541 • Letter: 4

Question

4) Find the sample size needed to be able to estimate the proportion of students that support (low volume) light azz played during exams to within 5% at the 95% confidence level. Use the estimated value of 56% support of light jazz. Sample Size Needed Find the sample size needed to estimate the average calories in Halloween candies to within 10 calories at the 95% confidence level. Assume a known estimate for the standard deviation of the population is 23.8 calories. (3 pts each) Extra Credit: Sample Size Needed

Explanation / Answer

Lets calculate the n:

MOE = .05 <= 1.96*sqrt( .56*.44/n)

Reshufling:

n >= 1.96*^2* (.56*.44/.05)^2

n >= 95.2

So, the size of the sample must be 96 atleast so that MOE is within .05

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