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A professor surveyed a random sample of 63 students about whether they planned to take an...

A professor surveyed a random sample of 63 students about whether they planned to take an optional final exam for the course. Of the 63 students surveyed, 47 indicated that they planned to take the exam.

(a) Compute the necessary sample size for estimating p to within .2 with 95% confidence. Use the sample proportion for this problem.

(b) Construct and interpret a 98% confidence interval for p, the true proportion of students who plan to take the final exam.

(c) Conduct a hypothesis test to see if the true proportion of students who plan to take the final exam is different from .75. List your null and alternative hypotheses, test statistic, and corresponding p-value.

Math   Statistics-And-Probability   
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