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 47% 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 46% say that having a flexible work schedule is either very important or extremely important to their career success? Round to 4 decimal places.

Answer 1

solution

Given that,

p = 0.47

1 - p = 1-0.47=0.53

n = 100

= p =0.47

=  [p( 1 - p ) / n] = [(0.47*0.53) / 100 ] = 0.0499

P( > 0.46) = 1 - P( < 0.46)

= 1 - P(( - ) / < (0.46-0.47) /0.0499 )

= 1 - P(z <-0.20 )

Using z table

= 1 -0.4207

=0.5793

probability=0.5793