A hospital keeps a record of the number of males and females in different age groups who contract a particular disease. The data are summarized as follows: Age Groups 10-25 26-40 41-55 56+ Male Female 23 20 34 64 31 55 29 44 a) Are gender and age of contracting the disease independent of one another (a ≤.05)?
A hospital keeps a record of the number of males and females in different age groups who contract a particular disease. The data are summarized as follows: Age Groups 10-25 26-40 41-55 56+ Male Female 23 20 34 64 31 55 29 44 a) Are gender and age of contracting the disease independent of one another (a ≤.05)?
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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a) Are gender and age of contracting the disease independent of one another (α ≤ .05)?
b) A researcher believes that people in the 41-55 age group are three times as likely to develop the disease as are those in each of the two younger age groups, while those in the 56 + age group are only twice as likely (relative to those in the two youngest groups). The two youngest age groups are not expected to differ from each other. Do the data support these beliefs (α ≤ .01)?
c) It is also believed that, relative to males, the proportion of females in the 56 + age group that develops the disease is significantly different from the proportion of females in the 10-25 age group that develops the disease. Test this belief with α ≤ .05.
Answers:
1. a) χ2 = 4.112, do not reject H0: gender and age of contracting the disease are independent;
b) χ2 = 14.03, reject H0: the data do not support the researcher's beliefs; c) χ2 = 2.068, do not reject H0: it appears that this belief is not supported (there is no evidence to suggest that the belief is correct).
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