Based on their records, a hospital claims that the proportion, p, of full-term babies born weigh over 7 pounds is 44%. A pediatrician who works with several hospitals in the community would like to verify the hopital's claim and investigates. In a random sample of 175 babies born in the community, 58 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 level of significance? Perform a two-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 Ho and the alternative hypothesis H, H O P Ho : X S P H, : I (b) Determine the type of test statistic to use. (Choose one) -1 50 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) X (d) Find the two critical values. (Round to three or more decimal places.) and (e) Can we reject the claim that the proportion of full-term babies born in the hospital that weigh more than 7 pounds is 44%? OYes ONo