Question
Assume that the results of a yes/no survey question given to a random sample of male...
Assume that the results of a yes/no survey question given to a random sample of male and female subjects are summarized in a 2×2 two-way table. Use the given values of the test statistic and the significance level to test for independence between gender and response.
Given a test statistic of chi squaredχ2 equals=3.93.9 and a significance level equals=0.01, decide whether gender and response are related or not related.
Homework Answers
Answer #1
The null and alternative hypothesis is ,
Ho:The gender and response are not related
VS
H1:The gender and response are related
Now , the degrees of freedom is given by ,
df=(r-1)(c-1)=(2-1)(2-1)=1*1=1
Where , r be the total number of rows and c be the total number of columns.
The critical value is given by ,
; The Excel function is , =CHIINV(0.01,1)
Since , the test statistic is , 
Decision : Here , 
Therefore , fail to reject Ho.
Conclusion : Hence , The gender and response are not related.
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