6. Do you think that we should let Radio Shack film a commercial in outer space? The commercialism of our space program is a topic of great interest since Dennis Tito paid $20 million 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 difference 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 confident"? 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