Question

# The proportion of eligible voters in the State election who will vote for the Premier is...

The proportion of eligible voters in the State election who will vote for the Premier is assumed to be 53%. What is the probability that in a random sample of 500 voters more than 53% say they will vote for the Premier?

 a. 0.7765 b. 0.0734 c. 0.2341 d. 0.9336 e. 0.5

probability=

Solution

Given that,

p = 0.53

1 - p = 0.47

n = 500

= p =0.53

=  [p( 1 - p ) / n] = [(0.53*0.47) /500 ] = 0.022

P( >0.53 ) = 1 - P( <0.53 )

= 1 - P(( - ) / < (0.53-0.53) /0.022 )

= 1 - P(z <0 )

Using z table

= 1 -0.5000

=0.5000

probability=0.5000

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