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    Test of hypothesis-test of proportions

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    10.38 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 alpha= .05, is there a significant difference in the proportion of large gloves sold?

    Show work in Excel or Megastat.

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    Solution Preview

    Please see the attached file.

    (a) Calculate the sample proportion of large gloves for each location.

    p= proportion of large gloves sold
    n=sample size

    West
    n1= 562
    p1= 25.80% =145/562

    East
    n2= 304
    p2= 18.42% =56/305

    (b) At alpha (a) = .05, is there a significant difference in the proportion of large gloves sold?

    Null Hypothesis: H0: p1=p2
    There is no difference between the proportion of large gloves sold
    Alternative Hypothesis: H1: p1>p2
    Proportion of large gloves sold is greater ...

    Solution Summary

    This solution tests the hypothesis for difference in proportions, attached with a Word and Excel document. It is detailed and gives each step of the hypothesis testing format.

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