A global research study found that the majority of todays wo

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 46% 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 (a) through (d). What is the probability that in the sample fewer than 49% 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.)

Solution

P=0.46

n=100

Standard error = sqrt( P*(1-P)/n) =sqrt(0.46*0.54/100) =0.0498

p=0.49

Z value for p=0.49, z=(0.49-0.46)/0.0498 =0.60

P( p <0.49)

= P( z < 0.60)

= 0.7257