A college surveys a sample of 263 of its students to determine whether they would prefer a final exam or a final paper. Out of the 263 students surveyed, 39 stated that they prefer the final exam. Based on this sample data, construct a 99% confidence interval for the proportion of all students who would prefer a final exam over a final paper, and interpret this confidence interval. Assume all conditions are

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A college surveys a sample of 263 of its students to determine whether they would prefer a final exam or a
final paper. Out of the 263 students surveyed, 39 stated that they prefer the final exam.
Based on this sample data, construct a 99% confidence interval for the proportion of all students who would
prefer a final exam over a final paper, and interpret this confidence interval. Assume all conditions are
met, and round values to three decimal places.
99% confidence interval: (0.092, 0.205)
Interpretation: 99% of the students indicate that their preference for a final exam is between 9.2%
and 20.5%.
O 99% confidence interval: (0.112, 0.184)
Interpretation: We are 99% confident that the true proportion of all students who would prefer a
final exam is between 11.2% and 18.4%.
O 99% confidence interval: (0.112, 0.184)
Interpretation: 99% of the students indicate that their preference for a final exam is between 11.2%
and 18.4%.
99% confidence interval: (0.105, 0.191)
Interpretation: We are 99% confident that the true proportion of all students who would prefer a
final exam is between 10.5% and 19.1%.
O 99% confidence interval: (0.092, 0.205)
Interpretation: We are 99% confident that the true proportion of all students who would prefer a
final exam is between 9.2% and 20.5%.
Transcribed Image Text:A college surveys a sample of 263 of its students to determine whether they would prefer a final exam or a final paper. Out of the 263 students surveyed, 39 stated that they prefer the final exam. Based on this sample data, construct a 99% confidence interval for the proportion of all students who would prefer a final exam over a final paper, and interpret this confidence interval. Assume all conditions are met, and round values to three decimal places. 99% confidence interval: (0.092, 0.205) Interpretation: 99% of the students indicate that their preference for a final exam is between 9.2% and 20.5%. O 99% confidence interval: (0.112, 0.184) Interpretation: We are 99% confident that the true proportion of all students who would prefer a final exam is between 11.2% and 18.4%. O 99% confidence interval: (0.112, 0.184) Interpretation: 99% of the students indicate that their preference for a final exam is between 11.2% and 18.4%. 99% confidence interval: (0.105, 0.191) Interpretation: We are 99% confident that the true proportion of all students who would prefer a final exam is between 10.5% and 19.1%. O 99% confidence interval: (0.092, 0.205) Interpretation: We are 99% confident that the true proportion of all students who would prefer a final exam is between 9.2% and 20.5%.
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