A ski company in Vail owns two ski shops, one on the east
side and one on the west side. Sales data showed that at the eastern location
there were 56 pairs of large gloves sold out of 304 total pairs sold. At the
western location there were 145 pairs of large gloves sold out of 562 total
pairs sold. (a) Calculate the sample proportion of large gloves for each
location. (b) At _ = .05, is there a significant difference in the
proportion of large gloves sold? (c) Can you suggest any reasons why a
difference might exist? (Note: Problem is based on actual sales data).
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