Based on their records, a hospital claims that the proportion, p, of full-term babies born in the community that weigh more than 7 pounds is 41%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 140 babies born in the community, 67 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 H1. P H : X S H : I (b) Determine the type of test statistic to use, (Choose one) (c) Find the value of the test statistic. ( Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places. ) X