Question

Suppose 41% of the students in a university are baseball players. If a sample of 524 students is selected, what is the probability that the sample proportion of baseball players will be less than 44%? Round your answer to four decimal places.

Answer 1

Solution

Given that,

=  [p ( 1 - p ) / n] =   [(0.41 * 0.59) / 524 ] = 0.0215

P( < 0.44) =

= P[( - ) / < (0.44 - 0.41) / 0.0215]

= P(z < 1.40)

= 0.9192

Probability = 0.9192