A Company Is Criticized Because Only 14 Of 41

A company is criticized because only 14 of 41 executives at a local branch are women. The company explains that although this proportion is lower than it might wish, it’s not a surprising value given that only 42% of all its employees are women. The company has more than 500 executives worldwide. Determine the hypotheses for this test. The proportion of female executives in the entire company is denoted by p. Calculate the test statistic and p-value. State the conclusion of the test.

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A company is criticized because only 14 of 41

Question
A company is criticized because only 14 of 41 executives at a local branch are women. The company explains that although this proportion is lower than it might wish, it’s not a surprising value given that only 42% of all its employees are women. The company has more than 500 executives worldwide.

Determine the hypotheses for this test. The proportion of female executives in the entire company is denoted by p. Calculate the test statistic and p-value. State the conclusion of the test.

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