The percentage of female CEOs in 2013 in Fortune 500 companies was 4%, according to Time magazine

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The percentage of female CEOs in 2013 in Fortune 500 companies was 4%, according to Time magazine (March 18, 2013). Suppose a student did a survey of 250 randomly selected large companies (not Fortune 500 companies), and 15 of them had women CEOs.

a. About how many of the 250 should we expect to have female CEOs if the proportion of female CEOs is 4%, as it is for the Fortune 500 companies?

b. Carry out the first two steps of a hypothesis test that will test whether the population proportion of women CEOs is not 0.04.

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