Question

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 1500 voting age citizens. 1020 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.Identify the null hypothesis AND identify the alternate hypothesis.a. p=.66b. p>.66c. p<.66d. p≤.66

Answer 1

Answer: $H_0: p \leq0.66$

$H_a: p>0.66$

Step-by-step explanation:

Given : The opinion poll recently sampled 1500 voting age citizens.

1020 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 0.66.

i.e. p>0.66

We know that the null hypothesis is a statement that shows equality on the other hand alternative hypothesis takes inequality signs such as < , > and ≠.

The alternative hypothesis for the given event :

$H_a: p>0.66$

Now, the null hypothesis (opposite of alternative) for the given event :

$H_0: p \leq0.66$