A recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes. The opinion poll recently sampled 1,500 voting age citizens. 1,020 of the sampled citizens were in favor of an increase in cigarette taxes. The state government would like to decide if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66. What is the alternative hypothesis?

H_0:p≤1200 , H_a:p>1200
H_0:p≤1500 , H_a:p>1500
H_0:p≤0.66 , H_a:p>0.66
H_0:μ<0.66 , H_a:P≥0.66

From the given information it is cleared that the total number of samples is 1500 and 1,020 of the sampled citizens were in favor of an increase in cigarette taxes.

The alternative hypothesis is the hypothesis that is directly contradicts to the null hypothesis.

Null hypothesis is an assumption you are beginning with or opposite of what you are testing.

Let p be the proportion of citizens supporting an increase in cigarette taxes.

Alternative hypothesis: The proportion of citizens supporting an increase in cigarette taxes is significantly greater than 0.66.

p>0.66

Null hypothesis: The proportion of citizens supporting an increase in cigarette taxes is significantly less than or equal to 0.66.

p≤0.66

Therefore the correct option is 3.