The proportion p of residents in a community who recycle has traditionally been $60\%.$ A policy maker claims that the proportion is less than $60\%$ now that one of the recycling centers has been relocated. If $125$ out of a random sample of $225$ residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the $0\mathrm{.}05$ level of significance?

Perform a one$-$tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places. $($If necessary, consult a list of formulas.$)$