I need some help with approaching the following problem:
A recent study conducted by the state government attempts to determine whether the voting public supports further increase in cigarette taxes. The opinion poll recently sampled 1500 voting age citizens. 1035 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 at 5% and 1% significance levels. Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed.
0.05 significance level (0.01 significance level)
The proportion of citizens supporting an increase in cigarette taxes is equal or less than .66.
The solution provides detailed explanation how to perform z test for proportion based hypothesis.