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 37%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 240 babies born in the community, 72 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. H0: H1: (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.)   (e) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 37%?   Yes    No

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 37%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 240 babies born in the community, 72 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.
H0:
H1:
(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.)
 
(e) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 37%?
 
Yes 
 
No
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