a. Show that another expression for the chi-squared statistic is 2 k i1 n N

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a. Show that another expression for the chi-squared statistic is 2

k i1

n N

pi 2

i 0

n Why is it more efficient to compute 2 using this formula?

b. When the null hypothesis is H0: p1 p2

pk 1/k

(i.e., pi0 1/k for all i), how does the formula of part (a)

simplify? Use the simplified expression to calculate 2 for the pigeon/direction data in Exercise 4.

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781111802325

7th Edition

Authors: Dave Ellis, Jay L Devore

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Question Posted: Sep 18, 2024 07:01 AM

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a. Show that another expression for the chi-squared statistic is 2 k i1 n N

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Probability And Statistics For Engineering And The Sciences

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