Business, 19.05.2020 17:03 jasminemmathlover

The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of salespersons. He believes that the proportion of women in similar sales positions across the country in 2004 is less than 45%. Hoping to find support for his belief, he directs his assistant to collect a random sample of salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.

Required:

a. State the appropriate null and alternative hypotheses in this situation.
b. Test this CEO's belief at the05 significance level and report the p-value. Do you find statistical support for his hypothesis that the proportion of women in similar sales positions across the country is less than 40%? (p-value 0.1004)
c. Suppose the sample size above is 100, instead of 50, and the sample proportion is again 0.36. Would this change your results?

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