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A University president has become interested in determining whether her faculty members are engag...

A University president has become interested in determining whether her faculty members are engaging in a misconduct by not teaching their classes. The installs cameras in the university's classrooms to check on her faculty. How many videos would the president need to review to achieve the results below?

a. She is uncertain of the distribution of faculty who are engaged in misconduct (i.e., 50/50) and wants to be 95% certain she is within .02 of the true population proportion. How many videos should she review?

b. Research suggests that 10% of faculty admit to not teaching their classes as assigned during the semester. If the president used this result and wanted to be 99% sure she was within .01 of the true population proportion , how many videos should she review?

c. The President also thinks that her faculty are pretty good on the most part and think that there is a 5% chance that her faculty are not teaching their classes appropriately and she wants to be 95% certain she is within .01 of the true population proportion . How many videos should she review here?

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