Test the following hypotheses by using the 2 goodness of fit test. The populatio

Question

Test the following hypotheses by using the 2 goodness of fit test.

The population proportions are not

pA = 0.2, pB = 0.4, and pC = 0.4

A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use = .01 and test to see whether the proportions are as stated in H0. Use Table 12.4.

a. Use the p-value approach.

2=______________ (to 2 decimals)

The p-value is

Conclusion:

b. Repeat the test using the critical value approach.

2.01 = ____________(to 3 decimals)

Conclusion:

H0: pA = 0.2, pB = 0.4, and pC = 0.4 Ha:

The population proportions are not

pA = 0.2, pB = 0.4, and pC = 0.4

Select less than.005 between.005 and.01 between.01 and.025 between .025 and.05 between.05 and.10 greater than .10

Explanation / Answer

here applying chi square goodness of fit test:

2= 75

The p-value is less than 0.005

Conclusion: conclude that proportions differ from 0.2,0.4,04

b)

2.01 = 9.210

Conclusion: conclude that proportions differ from 0.2,0.4,04

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E A 0.200 60.000 40.00 10.00 B 0.400 120.000 80.00 20.00 C 0.400 20.000 80.00 45.00 1 200 200 75.0000

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