Question

Test the following hypotheses for a multinomial probability distribution by using the x^2 goodness of fit...

Test the following hypotheses for a multinomial probability distribution by using the x^2 goodness of fit test.

Ho:Pa=0.2, Pb=0.4, Pc=0.4

Ha: The probabilities are not

: Pa=0.2, Pb=0.4, Pc=0.4

A sample of size 200 yielded 50in category A, 110 in category B, and 40 in category C.

Use a=0.01 and test to see whether the probabilities are as stated in Ho.

A: use the p-value approach. x^2=

P value:

Conclusion:

b. Repeat the test using the critical value approach

x2.01=

x2=

0 0
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Answer #1

The statistical software output for this problem is :

Test statistics = 33.75

P-value = 0.0000

Reject the null hypothesis

Critical value = 9.211

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