Question

A film distribution manager calculates that 9% of the films released are flops.

If the manager is accurate, what is the probability that the proportion of flops in a sample of 864 released films would be less than 8%?

Round your answer to four decimal places.

Answer 1

Solution

Given that,

p = 0.09

1 - p = 1-0.09=0.91

n = 864

= p =0.09

=  [p ( 1 - p ) / n] =   [(0.09*0.91) /864 ] = 0.009736

P( <0.08 ) =

= P[( - ) / < (0.08-0.09) / 0.009736]

= P(z < -1.03)

Using z table,   

probability =0.1515