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 Number of Visitors who visited that many of 0 1 2 3 4 5 6 7 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.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
Number of Visitors who
visited that many of
the Attractions
1
2
3
4
5 6 7
17 25
150
86 37
10 3 2
(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.
Transcribed Image 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 Number of Visitors who visited that many of the Attractions 1 2 3 4 5 6 7 17 25 150 86 37 10 3 2 (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.
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