Question

You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: H o : p A = 0.1 ; p B = 0.25 ; p C = 0.4 ; p D = 0.25

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You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: Observed Category Frequency A 15 B 32 C 29 D 17 What is the chi-square test-statistic for this data? Report all answers accurate to three decimal places

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Answer #1

Following table shows the calculations:

0.1 15 32 29 17 93 9.3 3.493548387 0.2523.25 3.293010753 37.2 1.807526882 0.2523.25 1.680107527 93 10.27419355 0.4 Total

The test statistics is

= 10.274

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