Question

When Donald Trump was campaigning for President , 65% of constituents supported his policy on legalizing marijuana. Today, Donald Trump is wondering if the support for legalizing marijuana has changed. If he polls 100 constituents, what is the probability of finding more than 58% still support the policy?

Answer 1

Solution

Given that,

p = 0.65

1 - p = 1-0.65=0.35

n = 100

= p =0.65

=  [p( 1 - p ) / n] = [(0.65*0.35) /100 ] = 0.04770

P( >0.58 ) = 1 - P( < 0.58)

= 1 - P(( - ) / < (0.58-0.65) /0.04770 )

= 1 - P(z < -1.47)

Using z table

= 1 -0.0708

=0.9292

probability=0.9292