Question

the proportion of residents in a community who recycle has traditionally been 61%. a policy - maker claims that the proportion is less than 61% now that one of the recycling centers has been relocated, and the policy - maker wishes to carry out a hypothesis test. state the null hypothesis $h_0$ and the alternative hypothesis $h_1$ that the policy - maker would use for this test.
$h_0$: (square)
$h_1$: (square)

Explanation:

Step1: Define null hypothesis

The null hypothesis is usually a statement of no - change. Here, it assumes the proportion is still the traditional value.
$H_0:p = 0.61$

Step2: Define alternative hypothesis

The policy - maker claims the proportion is less than the traditional value. So the alternative hypothesis is a one - sided test.
$H_1:p<0.61$

Answer:

$H_0:p = 0.61$
$H_1:p<0.61$