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.

a. what is the probabilty that in the same sample fewer than 53% say that having a flexible work schedule is either important or extremely important to their career success?

Answer 1

Solution

Given that,

p = 0.49

1 - p = 1 - 0.49 = 0.51

n = 100

= p = 0.49

=  [p ( 1 - p ) / n] =   [(0.49 * 0.51) / 100 ] = 0.05

P( < 0.53)

= P[( - ) / < (0.53 - 0.49) / 0.05 ]

= P(z < 0.80)

Using z table,

= 0.7881