Question

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

H 0:	p A = 0.2, p B = 0.4, and p C = 0.4
Ha:	The population proportions are not p A = 0.2 , p B = 0.4 , and p C = 0.4

A sample of size 200 yielded 40 in category A, 120 in category B, and 40 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.

χ ² =  (to 2 decimals)

The p-value is Select

less than .005

between .005 and .01

between .01 and .025

between .025 and .05

between .05 and .10

greater than .10Item 2

Conclusion:
Select

Conclude the proportions differ from 0.2, 0.4, and 0.4.

Cannot conclude that the proportions differ from 0.2, 0.4, and 0.4.Item 3

b. Repeat the test using the critical value approach.

χ ² _.01 =  (to 3 decimals)

Conclusion:
Select

Conclude the proportions differ from 0.2, 0.4, and 0.4.

Cannot conclude that the proportions differ from 0.2, 0.4, and 0.4.Item 5

Answer 1

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