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.

c. 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

Given that,

p = 0.41

1 - p = 1 - 0.41 = 0.59

n = 100

= p = 0.41

=  [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)

Using z table

= 1 - 0.5793

= 0.4207