Question

hospital claims that the proportion, P, of full-term bables born in their hospital that welah more than 7 pounds is 48%. In a random sample of 150 babies born In this hospital, 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 fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null trypothesis: HOP The alternative trypothes H, The type of test statistic Choose one) Do D-DOO 00 X 5 ? The value of the test statistic (Round to at least three decimaces.) Thep Cound to be three Cettenther O ONO than 7 pounds is 48%

Answer 1

Hoi P=0.48 H, :P + 0.48 (Two tailed test) n=150, X=86 ; 2=0.05 Sample tools hon tệ) - % - 85 = 0:5733 150 Test statistic, ôp 015733-0:48 E = Texci-P) px (p 10:48*(1-0.48) I 150 150 = 0.0933_ - 9.9872 0.040792 ) Z=2-287 ] P-value = 2 [1-22 (773:28777 fo0228] ( e The result is significant at P < 220.05 Since, P-value is less than the x=0:05 So, I we Reject Hol There is sufficient evidence to support the 1. claim at x2005 level of significance Yes, we can reject the claim that the proportion of full from babies born in their hospital that weigh more than 7 pounds is 487