**Hypothesis Test for a Population Proportion Using the p-value**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 44%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 175 babies born in the community, 89 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 \( H_0 \) and the alternative hypothesis \( H_1 \).- \( H_0: \)- \( H_1: \)(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 44%?- Yes- NoDiagram: The interface includes options for mathematical symbols such as \(\mu\), \(\sigma\), \(\rho\), and others with various diagrammatic options.

given data claim : p = 0.44n = 175x = 89α = 0.01

Answered: Based on their records, a hospital…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 36%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 180 babies born in the community, 46 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 level of significance? Expahel 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 H and the alternative hypothesis H. H : 0 H, :0 (b) Determine the type of test statistic to use. O-0 OSO (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…
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