Question: Example 5 A work sampling study was performed during a three-hour final exam to determine the proportion of time that students spend using a calculator.

Example 5 A work sampling study was performed

Example 5 A work sampling study was performed during a three-hour final exam to determine the proportion of time that students spend using a calculator. There were 70 students taking the exam. A total of five observations were taken of each student at random times during the three hours. Of the total observations taken, 77 of the observations found the students using their calculators. (a) Form a 90% confidence interval on the proportion of time students spend using their calculators during an exam. (b) How many observations must be taken for the analyst to be 95% confident that the estimate of proportion of time a student uses a calculator is within +3% of the true proportion

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