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.