Suppose that a response can fall into one of k = 3 categories with probabilities p1 = .4, p2 = .3, and p3 = .3, and n = 300 responses produce these category counts:

Do the data provide sufficient evidence to indicate that the cell probabilities are different from those specified for the three categories? Find the approximate p-value and use it to make your decision.

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Category Observed Count130 98 72