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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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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