You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with...

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You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with...

You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:

HoHo : pA=0.15pA=0.15; pB=0.3pB=0.3; pC=0.4pC=0.4; pD=0.15pD=0.15

Category	Observed Frequency
A	39
B	53
C	55
D	26

What is the chi-square test-statistic for this data?
χ2=χ2= Incorrect

math Statistics-And-Probability

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Answer 1

Answer #1

Following table shows the calculations:

Category O E-p*173(O-E)A2/E 39 0.1525.95 6.562716763 51.9 0.023314066 69.2 2.913872832 0.1525.95 9.63391E-05 9.5 0.3 0.4 53 2

The test statistics is

$\chi^{2}=\sum \left ( \frac{(O-E)^{2}}{E} \right )=9.5$

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Answer 2

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