A hospital claims that the proportion,p, of full-term babies born in their hospital that weigh more than 7pounds is 45%. In a random sample of 145 babies born in this hospital,73weighed over7 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 The null hypothesis:H0: The alternative hypothesis:H1: The type of test statistic:(Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The two critical values at the0.05level of significance:(Round to at least three decimal places.)andCan we reject the claim that the proportion of full-term babies born in their hospital that weigh more than 7pounds is 45%? Yes No

Name: A hospital claims that the proportion,p, of full-term babies born in t
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Description: A hospital claims that the proportion,p, of full-term babies born in their hospital that weigh more than 7pounds is 45%. In a random sample of 145 babies born in this hospital,73weighed over7 pounds. Is there enough evidence to reject the hospital's

Given: Sample size, n = 145 Sample proportion, p^ = 73/145 = 0.50 To test the hospital's claim that the proportion of full-term babies that weigh more than 7pounds is 45%, the hypothesis of interest is H0: p = 0.45 H1: p ≠ 0.45 Under the null hypothesis, the test statistic is |Z|=|p^-p|p(1-p)/n~N(0,1) = |0.50 - 0.45|0.45×0.55/145 = 1.210 At a 5% level of significance, α=0.05 the critical values are P(|Z|≥zα/2) =α=0.05⇒ P(Z≤-zα/2)= α/2 = 0.025 & P(Z≥zα/2)=α/2 = 0.025 ⇒zα/2=±1.96 from the normal tables. Since the value of the statistic lies in the critical region (greater than the critical value), there exists enough evidence to reject the null hypothesis and accept the hospital's claim.

Answered: A hospital claims that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A hospital claims that the proportion,p, of full-term babies born in their hospital that weigh more than 7pounds is 45%. In a random sample of 145 babies born in this hospital,73weighed over7 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

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The two critical values at the 0.05 level of significance: (Round to at least three decimal places.)	and
Can we reject the claim that the proportion of full-term babies born in their hospital that weigh more than 7pounds is 45%?	Yes	No

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