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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?

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##### 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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(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 ...

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