Answer:
0.1112
Step-by-step explanation:
Given data:
sample size ( N ) = 150
proportion of population (p) = 50% = 0.500
Determine :
P( x > 0.55 ) = P ( Z > [tex]\frac{0.55 - 0.5}{0.0408}[/tex] ) -------- (1)
бp = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex] = [tex]\sqrt{\frac{0.5(1-0.5)}{150} }[/tex] = 0.0408 ( standard error of proportion )
Back to equation 1
P( x > 0.55 ) = P ( Z > 1.22 )
= 1 - P ( Z < 1.22 )
Hence
P( x < 0.55 ) = 0.1112
