Question

Use the data in the file to calculate a 90% confidence interval for pF−pM, where pF...

Use the data in the file to calculate a 90% confidence interval for pF−pM, where pF is the proportion of NC State female students that prefer Diet Coke over Coca-Cola Classic and pM is the proportion of NC State male students that prefer Diet Coke over Coca-Cola Classic. NOTE: calculate the sample proportions to 3 decimal places.

The results are in this Excel file.

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Math   Statistics-And-Probability   
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Homework Answers

Answer #1

pF = 162/254 = 0.6378

pM = 122/276 = 0.442

p1 p2 pc
0.6378 0.442 0.5358 p (as decimal)
162/254 122/276 284/530 p (as fraction)
162. 122. 284. X
254 276 530 n
0.196 difference
0. hypothesized difference
0.043 std. error
0.126 confidence interval 90.% lower
0.266 confidence interval 90.% upper
0.07 margin of error

The 90% confidence interval for pF−pM is between 0.126 and 0.266.

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