Question: Are you annoyed with spam e-mail? Suppose a random sample of 200 Penn State students was asked this question of which 80% said that they are annoyed. From the provided information we can find the following:

sample percent = 80% (sample proportion = .80)

standard deviation (S.D.) = .03

a. Set up the calculation of a 95% confidence interval to estimate the population proportion of Penn State students who are annoyed by spam e-mail? (Hint: refer to Example 12.5)

b. Knowing that the margin of error = .06 or 6%, write out a one-sentence interpretation of the margin of error.

c. The 95% confidence interval to estimate the population proportion of Penn State students who are annoyed by spam e-mail is (.74 to .86). Write out a one-sentence interpretation of this confidence interval.

d. What type of data is used in this example—categorical or measurement?

e. What would happen to the size of the margin of error or confidence interval if the level of confidence were instead 99.7%? Explain.