MacroSwift has recently released a new word-processing product, and they are interested in determining whether people in the 30–39 age group rate the program any differently than members of the 40–49 age group. MacroSwift randomly sampled 175 people in the 30–39 age group who purchased the product and found 87 people who rated the program as excellent, with 52 people who would purchase an upgrade. They also sampled 220 people in the 40–49 age group and found 94 people who gave an excellent rating, with 37 people who plan to purchase an upgrade. Is there any signifi cant difference in the proportions of people in the two age groups who rate the program as excellent at the α = 0.05 level? Is the same result true for proportions of people who plan to purchase an upgrade?

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