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

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

A sample of size 200 yielded 20 in category A, 100 in category B, and 80 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)