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 41% 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.

What is the probability that in the sample more than 42​% say that having a flexible work schedule is either very important or extremely important to their career​ success?

Answer 1

Solution

=  [p( 1 - p ) / n] = [(0.41 * 0.59) / 100 ] = 0.0492

P( > 0.42) = 1 - P( < 0.42)

= 1 - P(( - ) / < (0.42 - 0.41) / 0.0492)

= 1 - P(z < 0.20)

= 0.0158

Probability = 0.0158