Based on their records, the hospital claims that the proportion, p, of full-term babies born weigh over 7 pounds is 41%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim and investigates. In a random sample of 170 babies born in the community, 86 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.05 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 H0 and the alternative hypothesis H1.
(b) Determine the type of test statistic to use.
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values. (Round to three or more decimal places.)
(e) Can we reject the claim that the proportion of full-term babies born in the hospital that weigh more than 7 pounds is 41%?
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