Question #4 please answer (a), (b), and find the degree of freedom :)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Question #4 please answer (a), (b), and find the degree of freedom :)
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 40%. A pediatrician
who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 140 babies born in the community, 71
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 H. and the alternative hypothesis H,.
H : 0
H :0
(b) Determine the type of test statistic to use.
Choose one) ▼
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(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 40%?
OYes CNo
Dlo
Ix
Transcribed Image Text: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 40%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 140 babies born in the community, 71 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 H. and the alternative hypothesis H,. H : 0 H :0 (b) Determine the type of test statistic to use. Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (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 40%? OYes CNo Dlo Ix
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