Random samples of 200 observations were selected from each of three populations, and each observation was classified according to whether it fell into one of three mutually exclusive categories:

You want to know whether the data provide sufficient evidence to indicate that the proportions of observations in the three categories depend on the population from which they were drawn.
a. Give the value of X2 for the test.
b. Give the rejection region for the test for α = .01.
c. State your conclusions.
d. Find the approximate p-value for the test and interpret its value.

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Category Population 1 2 3 Total 108 52 40 200 87 51 62 200 112 39 49 200