A population has a proportion equal to 030 Calculate the fol

A population has a proportion equal to 0.30. Calculate the following probabilities with n = 100: P(p^- 0.35) P(p^- > 0.40) P(0.25

7.45.

a).

sd=sqrt(0.3*(1-0.3)/100) =0.0458

z value for 0.35, z=(0.35-0.3)/0.0458 =1.09

P( p <0.35) = P( z < 1.09)

= 0.8621

b).

z value for 0.40, z=(0.40-0.3)/0.0458 =2.18

P( p > 0.40) = P( z > 2.18)

= 0.0146

c).

z value for 0.25, z=(0.25-0.3)/0.0458 =-1.09

z value for 0.40, z=(0.40-0.3)/0.0458 =2.18

P( 0.25<p<0.40) = P( -1.09< z<2.18)

P( z <2.18) – P9z < -1.09)

= 0.9854 - 0.1379

= 0.8475

d).

z value for 0.27, z=(0.27-0.3)/0.0458 = -0.65

P( p > 0.27) = P( z > -0.65)

= 0.7422