A Virginia Slims Opinion Poll by Roper Starch found that more than 70% of the women interviewed believe they have had more opportunity to succeed than their parents. Suppose a researcher in your state conducts a similar poll and asks the same question with the result that of 64 women interviewed, 40 believe they have had more opportunity to succeed than their parents. The sequence of responses to this question is given below with Y denoting Yes and N denoting No. Use the runs test and α = .05 to test this sequence and determine whether the responses are random.

Y Y N Y Y N N Y Y Y N N Y N N Y Y Y Y Y N Y Y Y Y N N Y Y N N N Y Y Y N N Y Y Y Y N Y N Y Y Y N N N Y N N Y Y Y Y Y N N Y Y Y Y