A professor use chi-square test to examine the relationship between smoking and colon cancer. He fol

trasdulaive

trasdulaive

Answered question

2022-03-03

A professor use chi-square test to examine the relationship between smoking and colon cancer. He followed a total of 480 people and the result was listed below:
 Frequency  Colon Cancer  No Colon Cancer  Smokers 12080 Non-smokers 25255
a. 60.42
b. 101.20
c. 139.58
d. 84.58

Answer & Explanation

aceptanteppt

aceptanteppt

Beginner2022-03-04Added 5 answers

Provided information is, a professor used chi-square test to examine the relationship between smoking and colon cancer. He followed a total of 480 people, the results obtained are:
 Frequency  Colon Cancer  No Colon Cancer  Smokers 12080 Non-smokers 25255
The chi-square test statistic can be obtained as:
χ2=N(adbc)2(a+b)(c+d)(a+c)(b+d)
 Frequency  Colon Cancer  No Colon Cancer  Smokers a=120b=80 Non-smokers c=25d=255
The chi-square test statistic is:
χ2=480((120×255)(80×25))2(120+80)(25+255)(120+25)(80+255)=144.3353
Thus, value of the test statistic is 144.3353.

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