1. The incidence of cancer among phosphate mine workers and their exposure to radiation was investigated. Cancer incidence was recorded among 60 phosphate mine workers who had 0-29 working level months (WLM) of exposure, 60 phosphate mine workers who had 30-89 WLM of exposure, and 60 phosphate mine workers who had 90-120 WLM of exposure. The number of cancer incidences for each group are presented in Table 1. Table 1: Two-way Table of Counts Cancer Incidence Exposure Level Yes No Total 0-29 WLM 20 40 60 30-89 WLM 33 27 60 90-120 WLM 43 17 60 Total 96 84 180 Perform a x? test, at the 5% level of significance, whether cancer incidence rates differ between the three levels of radiation among phosphate mine workers.
1. The incidence of cancer among phosphate mine workers and their exposure to radiation was investigated. Cancer incidence was recorded among 60 phosphate mine workers who had 0-29 working level months (WLM) of exposure, 60 phosphate mine workers who had 30-89 WLM of exposure, and 60 phosphate mine workers who had 90-120 WLM of exposure. The number of cancer incidences for each group are presented in Table 1. Table 1: Two-way Table of Counts Cancer Incidence Exposure Level Yes No Total 0-29 WLM 20 40 60 30-89 WLM 33 27 60 90-120 WLM 43 17 60 Total 96 84 180 Perform a x? test, at the 5% level of significance, whether cancer incidence rates differ between the three levels of radiation among phosphate mine workers.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![a. First check the assumptions:
1. The samples are independent samples taken from two or more populations (0-29 WLM, 30-89 WLM, 90-120 WLM). We
assume these samples are simple random samples.
2. Each outcome falls into exactly one of several categories (Yes/No) with the categories being the same in all treatment
populations.
3. Now check if the third requirement is satisfied:
O The expected frequency for each cell is greater than 5, therefore the requirements for a x? test are satisfied.
O The expected frequency for at least one cell is less than 5 , therefore the requirements for a x? test are not satisfied.
We don't need to check the expected frequency of cells for the requirements for a x? test.
The minimum observed frequency for each cell is greater than 5, therefore the requirements for a x? test are
satisfied.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd021f839-33b8-41ef-a185-26d96dfe9781%2Ff71aa4f8-df26-438f-8a26-404bdbaf876d%2Ft37bmw_processed.png&w=3840&q=75)
Transcribed Image Text:a. First check the assumptions:
1. The samples are independent samples taken from two or more populations (0-29 WLM, 30-89 WLM, 90-120 WLM). We
assume these samples are simple random samples.
2. Each outcome falls into exactly one of several categories (Yes/No) with the categories being the same in all treatment
populations.
3. Now check if the third requirement is satisfied:
O The expected frequency for each cell is greater than 5, therefore the requirements for a x? test are satisfied.
O The expected frequency for at least one cell is less than 5 , therefore the requirements for a x? test are not satisfied.
We don't need to check the expected frequency of cells for the requirements for a x? test.
The minimum observed frequency for each cell is greater than 5, therefore the requirements for a x? test are
satisfied.
![1. The incidence of cancer among phosphate mine workers and their exposure to radiation was investigated. Cancer
incidence was recorded among 60 phosphate mine workers who had 0-29 working level months (WLM) of exposure, 60
phosphate mine workers who had 30-89 WLM of exposure, and 60 phosphate mine workers who had 90-120 WLM of
exposure. The number of cancer incidences for each group are presented in Table 1.
Table 1: Two-way Table of Counts
Cancer Incidence
Exposure Level
Yes
No
Total
0-29 WLM
20
40
60
30-89 WLM
33
27
60
90-120 WLM
43
17
60
Total
96
84
180
Perform a x? test, at the 5% level of significance, whether cancer incidence rates differ between the three levels of
radiation among phosphate mine workers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd021f839-33b8-41ef-a185-26d96dfe9781%2Ff71aa4f8-df26-438f-8a26-404bdbaf876d%2Fnlfeyjn_processed.png&w=3840&q=75)
Transcribed Image Text:1. The incidence of cancer among phosphate mine workers and their exposure to radiation was investigated. Cancer
incidence was recorded among 60 phosphate mine workers who had 0-29 working level months (WLM) of exposure, 60
phosphate mine workers who had 30-89 WLM of exposure, and 60 phosphate mine workers who had 90-120 WLM of
exposure. The number of cancer incidences for each group are presented in Table 1.
Table 1: Two-way Table of Counts
Cancer Incidence
Exposure Level
Yes
No
Total
0-29 WLM
20
40
60
30-89 WLM
33
27
60
90-120 WLM
43
17
60
Total
96
84
180
Perform a x? test, at the 5% level of significance, whether cancer incidence rates differ between the three levels of
radiation among phosphate mine workers.
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