From the given information in each case below, state what you know about the P-value for a chi-square test and give the conclusion for a significance level of α = .01.
a. X 2 = 7.5, df = 2
b. X 2 = 13.0, df = 6
c. X 2 = 18.0, df = 9
d. X 2 = 21.3, df = 4
e. X 2 = 5.0, df = 3
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