MyLab Statistics with Pearson eText -- Standalone Access Card -- for Essentials of Statistics
6th Edition
ISBN: 9780134870113
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 11.2, Problem 6BSC
In Exercises 5-18, test the given claim.
6. Splint or Surgery? A randomized controlled trial was designed to compare the effectiveness of splinting versus surgery in the treatment of carpal tunnel syndrome. Results are given in the table below (based on data from “Splinting vs. Surgery in the Treatment of Carpal Tunnel Syndrome,” by Gerritsen et al., Journal of the American Medical Association, Vol. 288, No. 10). The results are based on evaluations made one year after the treatment. Using a 0.01 significance level, test the claim that success is independent of the type of treatment. What do the results suggest about treating carpal tunnel syndrome?
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Splint or Surgery? A randomized controlled trial was designed to compare effectiveness of splinting versus
surgery in the treatment of carpal tunnel syndrome. Results are given in the table below (based on data from
"Splinting vs Surgery in the Treatment of Carpal Tunnel Syndrome," by Gerritsen et al., Journal of the
American Medical Association, Vol. 288, No. 10). The results are based on evaluations made one year after
treatment. Using a 0.01 significance level, test the claim that success is independent of the type of treatment.
Successful Treatment
Unsuccessful Treatment
Splint Treatment
Surgery Treatment
60
23
67
6.
Họ: p = 0 (Success is dependent of the type of treatment.)
HA: p +0 (Success is independent of the type of treatment.)
Hypothesis Test:
(row total) x (column total)
(Expected count) E =
table total
Test Statistic:
(01- E1)?, (02- E2)?
+
X = EE
(0-E)²
(Ok- Ek)²
1-א
X =
+... +
E1
E2
Ek
P-value
df= (r - 1)(c - 1) =
a =
Decision:
Conclusion:
A study was made of 413 children who were hospitalized as a result of motor vehicle crashes. Among 290 children who were not using seat
belts, 60 were injured severely. Among 123 children using seat belts, 16 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?
Pi = P2
O Pi P2
Which is the proper expression of H1?
O pi P2
Calculate p1 to 4 decimal places:
Calculate p,…
Calcium and Blood Pressure Does increasing the amount of calcium in our diet reduce blood
pressure? Examination of a large sample of people revealed a relationship between calcium intake
and blood pressure. Such observational studies do not establish causation. Researchers therefore
designed a randomized comparative experiment.
The subjects were 21 healthy men who volunteered to take part in the experiment. They were
randomly assigned to two groups: 10 of the men received a calcium supplement for 12 weeks,
while the control group of 11 men received a placebo pill that looked identical. The experiment
was double-blind. The response variable is the decrease in systolic (top number) blood pressure
for a subject after 12 weeks, in millimeters of mercury. An increase appears as a negative number.
Do the data provide convincing evidence that a calcium supplement reduces blood pressure more
than a placebo, on average, for subjects like the ones in this study?
Group 1 (calcium)
Group (placebo)…
Chapter 11 Solutions
MyLab Statistics with Pearson eText -- Standalone Access Card -- for Essentials of Statistics
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