Question

In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were: Men Women Voted 2777 3466 Didn't Vote 1444 2313 If we are testing for a relationship between gender and participation in the last election, what is the test statistic?

Answer 1

REQUIRED TEST STATICS IS 35.19

Explanation:

total size of sample = 10,000

men women

voted 2777 3466

did not vote 1444 2313

By chi square test we can find the relationship between gender and participation in the election

`X</em>^2 = ( N(ad-bc)^2)/((a+c)(b+d)+(a+b)(c+d))<em>`

where

a represent = 2777, b = 3466, c= 1444, d = 2313, N = 10000

Putting values to get chis square statics

`X^2 = ( 10000(2777*2313-3466*1444)^2)/((2777+1444)(3466+2313)+(2777+3466)(1444+2313))`

`X^2</em> = = 35.159<em>`

HENCE REQUIRED TEST STATICS IS 35.19