H0: Less than 60% of the voters favor the abolition of road tax.

H1: More than 60% of the voters favor the abolition of road tax.

Let represent the proportion of the sample that favor the abolition of road tax.

Then (for large n) ~ Normal

where p is the proportion of the population that favor the abolition of road tax and n is the sample size.

Probability of type I error = Pr(Reject H0 | H0 true) =

~ Normal .

Probability of type II error = Pr(Don't reject H0 | H0 false) =

~ Normal .

Calculations are left for you.