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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.
a)Formulate the hypotheses.
b)What is the value of the test statistic?
c)What is the critical value of the test?
d)Find the p-value of the test.
e)What is your conclusion? Explain it in the context of the problem.
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