8.67 Ads in Outer Space? Do you think that we should let The Source film a commercial in outer space? The commercialism of our space program is a topic of great interest since Dennis Tito paid $20 mil- lion dollars to ride along with the Russians on the space shuttle. In a survey of 500 men and 500 women, 20% of the men and 26% of the women responded that space should remain commercial-free.

a. Construct a 98% confidence interval for the dif- ference in the proportions of men and women who think that space should remain commercial-free.

b. What does it mean to say that you are "98% confi- dent"?

c. Based on the confidence interval in part

a, can you conclude that there is a difference in the proportions of men and women who think space should remain commercial-free?