Question

In: Statistics and Probability

11.A population has a proportion equal to 0.86. Calculate P(p̄< 0.8) with n = 100.

Expert Solution

Solution

Given that,

p = 0.86

1 - p = 1-0.86=0.14

n = 100

= p =0.86

= $\sqrt$ [p ( 1 - p ) / n] = $\sqrt$ [(0.86*0.14) / 100 ] = 0.0347

P( < 0.8) =

= P[( - ) / < (0.8-0.86) /0.0347 ]

= P(z <-1.73 )

Using z table,

=0.0418

probability0.0418

orchestra answered 2 years ago

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