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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 4GP

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9:05
< Notes
4. Does knuckle cracking lead to osteoarthritis
of the hand joints? A retrospective study of
people who had an X-ray taken of the right hand
within the previous five years recruited 135
subjects with a confirmed diagnosis of hand
osteoarthritis and 80 control subjects in the
same age group?. The study found that 24
subjects with hand osteoarthritis and 19 control
subjects were habitual knuckle crackers. Use
these data, the appropriate statistical test, and
an alpha level of 0.01 to follow the steps below
and test the hypothesis that the proportion of
knuckle crackers differs between the group with
hand osteoarthritis and the control group.
a. What are the appropriate null and alternative
hypotheses? (You can use symbols.)
b. Calculate the appropriate observed test
statistic, show your work below, and put the
value of the test statistic in this blank:
c. What is the p-value for that observed test
statistic?
d. Based on your results, do you reject the null
hypothesis, or do you fail to reject it?
e. Based on your results, provide a complete
conclusion that addresses the hypotheses in
terms of the scenario and answers the original
question.
O-
O

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