1. 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: 23, 34, 20, 64 Female: 31, 29, 55, 44 a) Are gender and age of contracting the disease independent of one another (a < .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 (a < .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 a 5.05. Answers 1. a) x2 = 4.112, do not reject Ho: gender and age of contracting the disease are independent; b) x2 = 14.03, reject Ho: the data do not support the researcher's beliefs; c) ›2 = 2.068, do not reject Ho: it appears that this belief is not supported (there is no evidence to suggest that the belief is correct). Show how to solve this problem with all your work and in lots of detail

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

See similar textbooks

Related questions

Question

1. 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: 23, 34, 20, 64 Female: 31, 29, 55, 44 a) Are gender and age of contracting the disease independent of one another (a < .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 (a < .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 a 5.05. Answers 1. a) x2 = 4.112, do not reject Ho: gender and age of contracting the disease are independent; b) x2 = 14.03, reject Ho: the data do not support the researcher's beliefs; c) ›2 = 2.068, do not reject Ho: it appears that this belief is not supported (there is no evidence to suggest that the belief is correct). Show how to solve this problem with all your work and in lots of detail

Expert Solution