Question

home / study / math / statistics and probability / statistics and probability questions and answers / a recent study conducted by the state government attempts to determine whether the voting public ... Question: A recent study conducted by the state government attempts to determine whether the voting public ... 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? Please provide a brief explanation.

Answer 1

Here we conduct the Z-test for one population proportion as :

Hence, there is not enough evidence to establish that the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66 at 5% level of significance.