4 A survey was carried out concerning the top 7 attractions in Sydney. A sample of 330 visitors were asked how many of the 7 attractions they had visited. The results were as follows: Number of...

Extracted text: 4 A survey was carried out concerning the top 7 attractions in Sydney. A sample of 330 visitors were asked how many of the 7 attractions they had visited. The results were as follows: Number of Attractions 0 1 2 3 4 5 6 7 Number of Visitors who visited that many of 17 25 150 86 37 10 3 2 the Attractions (a) Test the hypothesis that the number of attractions visited is binomially distributed with n = 7 and some unknown parameter p, which you should estimate first (i.e. do a goodness- of-fit test). (b) Is it likely that the assumptions of the binomial distribution will be valid in this example? Give reasons for your answer.