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 the Attractions 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 goodnessof-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 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 the Attractions 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 goodnessof-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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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 the Attractions 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 goodnessof-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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