ccording to the U.S. Bureau of Labor Statistics, approximately equal numbers of men and women are engaged in sales and related occupations. Although that may be true for total numbers, perhaps the proportions differ by industry. A random sample of 110 salespersons from the industrial sector indicated that 54 were men, and in the medical supply sector, 40 of 100 were men. One wants to see if the proportion of men in industrial sales differs from the proportion of men in medical supply sales. a) Formulate the null and the alternative hypotheses and test them at α = 0.05. b) Find the test p-value and confirm the result obtained in part a). c) Can it be effectively inferred that the proportion of men in industrial sales is different from the proportion of men in medical supply sales? Explain.

MATLAB: An Introduction with Applications
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According to the U.S. Bureau of Labor Statistics, approximately equal numbers of men and women are engaged in sales and related occupations. Although that may be true for total numbers, perhaps the proportions differ by industry. A random sample of 110 salespersons from the industrial sector indicated that 54 were men, and in the medical supply sector, 40 of 100 were men. One wants to see if the proportion of men in industrial sales differs from the proportion of men in medical supply sales. a) Formulate the null and the alternative hypotheses and test them at α = 0.05. b) Find the test p-value and confirm the result obtained in part a). c) Can it be effectively inferred that the proportion of men in industrial sales is different from the proportion of men in medical supply sales? Explain.
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