The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 162 out of a random sample of 245 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.01 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.) (a) State the null hypothesis H and the alternative hypothesis H. H O P Ho : 0 X S P H :0 (b) Determine the type of test statistic to use. (Choose one) V D=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) X . . (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? Yes No