14.5 Suppose that a response can fall into one of k = 5 categories with probabilities P1,...

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14.5 Suppose that a response can fall into one of k = 5 categories with probabilities P1, P2, ... Ps and that n = 300 responses produced these category counts:

a. Are the five categories equally likely to occur? How would you test this hypothesis?

b. If you were to test this hypothesis using the chi-square statistic, how many degrees of freedom would the test have?

c. Find the critical value of x2 that defines the rejection region with = 0.05.

d. Calculate the observed value of the test statistic.

e. Conduct the test and state your conclusions.

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Introduction To Probability And Statistics

ISBN: 9780176509804

3rd Edition

Authors: William Mendenhall

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Question Posted: Sep 11, 2024 04:00 AM

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14.5 Suppose that a response can fall into one of k = 5 categories with probabilities P1,...

Question:

Category 1 2 3 4 5 Observed count 47 63 74 51 65

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Introduction To Probability And Statistics

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