A study was made of 425 children who were hospitalized as a result of motor vehicle crashes. Among 300 children who were not using seat belts, injured severely. Among 125 children using seat belts, 10 were injured severely (based on data from “Morbidity Among Pediatric Motor Vehicle Cr Victims: The Effectiveness of Seat Belts," by Osberg and Di Scala, American Journal of Public Health, Vol. 82, No. 3). For this problem we want to know, is there sufficient sample evidence to conclude, at the 0.05 significance level, that the proportion of severe inj higher for children not wearing seat belts? Let pi be the proportion of severe injuries among all children not wearing seatbelts and who were involved in crashes. Let p2 be the proportion of severe injuries among all children wearing seatbelts and who were involved in crashes.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A study was made of 425 children who were hospitalized as a result of motor vehicle crashes. Among 300 children who were not using seat belts, 50 were
injured severely. Among 125 children using seat belts, 10 were injured severely (based on data from "Morbidity Among Pediatric Motor Vehicle Crash
Victims: The Effectiveness of Seat Belts," by Osberg and Di Scala, American Journal of Public Health, Vol. 82, No. 3).
For this problem we want to know, is there sufficient sample evidence to conclude, at the 0.05 significance level, that the proportion of severe injuries is
higher for children not wearing seat belts?
Let pi be the proportion of severe injuries among all children not wearing seatbelts and who were involved in crashes.
Let p2 be the proportion of severe injuries among all children wearing seatbelts and who were involved in crashes.
Which is the proper expression of Ho?
P1 > P2
P1 < P2
P1 = P2
Which is the proper expression of H1?
Pi = P2
O pi < P2
O pi > P2
Calculate p1 to 4 decimal places:
Calculate p2 to 4 decimal places:
Calculate the pooled sample estimate: p =
Calculate the pooled sample estimate: q
For this test zcritical
(to 4 decimal places)
For this test Ztest =
(to 4 decimal places)
Determine the p-value, correct to 4 decimal places:
Conclusion:
O Do not reject Ho
O Reject Ho
Transcribed Image Text:A study was made of 425 children who were hospitalized as a result of motor vehicle crashes. Among 300 children who were not using seat belts, 50 were injured severely. Among 125 children using seat belts, 10 were injured severely (based on data from "Morbidity Among Pediatric Motor Vehicle Crash Victims: The Effectiveness of Seat Belts," by Osberg and Di Scala, American Journal of Public Health, Vol. 82, No. 3). For this problem we want to know, is there sufficient sample evidence to conclude, at the 0.05 significance level, that the proportion of severe injuries is higher for children not wearing seat belts? Let pi be the proportion of severe injuries among all children not wearing seatbelts and who were involved in crashes. Let p2 be the proportion of severe injuries among all children wearing seatbelts and who were involved in crashes. Which is the proper expression of Ho? P1 > P2 P1 < P2 P1 = P2 Which is the proper expression of H1? Pi = P2 O pi < P2 O pi > P2 Calculate p1 to 4 decimal places: Calculate p2 to 4 decimal places: Calculate the pooled sample estimate: p = Calculate the pooled sample estimate: q For this test zcritical (to 4 decimal places) For this test Ztest = (to 4 decimal places) Determine the p-value, correct to 4 decimal places: Conclusion: O Do not reject Ho O Reject Ho
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