Question

Earlier this month, 69% Californians voted 'yes' on Measure H: a sales tax measure to fund homeless services and prevention.what is the probability that in a sample of S0 Californians, more than 66% will vote 'yes' on Measure H. Find the 20th percentile for the above distribution of sample proportions. Le Find Pro ?) = 0.20. O

A 0.74
B 0.64
C 0.59

Answer 1

0.64 ( B )

Explanation:

Find the 20th percentile i.e. P ( p ≤ ? ) = 0.20

To determine the 20th percentile for the above distribution we apply this relationship

`Z = \frac{p - P}{\sqrt{(P(1-P ))/(N) } }` ------------- ( 1 )

Given :The Z -score of 20th percentile = - 0.84

P = 0.69

N = 50 Californians

p = ?

Insert the given data into equation 1, equation 1 becomes

p - 0.69 = ( -0.84 )( 0.0654 )

hence p = 0.64