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A global research study found that the majority of today\'s working women would

ID: 3070841 • Letter: A

Question

A global research study found that the majority of today's working women would prefer a better work-life balance to an increased salary. One of the most important contributors to work-life balance identified by the survey was "flexibility," with 49% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. Answer parts (b)

b. What is the probability that in the sample between 42% and 52% say that having a flexible work schedule is either very important or extremely important to their career success? Round to four decimal places as needed.

Explanation / Answer

p = 0.49
n = 100

SE = sqrt(0.49 * 0.51/100) = 0.0500
P(0.42 < p < 0.52)
= ((0.42 - 0.49)/0.05 < z < (0.52 - 0.49)/0.05)
= (-1.4 < z < 0.6)
= P(z < 0.6) - P(z < -1.4)
= 0.7257 - 0.0808
= 0.6450

Ans: 0.6450

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