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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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
Transcribed Image Text: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
Expert Solution
Step 1: Determine the given data in the question

Let p1 and p2 be the two population proportions of hand osteoarthritis and the control group.

Given that,

F o r space t h e space g r o u p space o f space h a n d space o s t e o a r t h r i t i s comma x subscript 1 equals 80 n subscript 1 equals 135 F o r space t h e space c o n t r o l space g r o u p comma x subscript 2 equals 19 n subscript 2 equals 24

Assume the level of significance left parenthesis alpha right parenthesis equals 0.01


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