Question

If chi­square is equal to 114.83, which of the following statements is true for a 4x5...

If chi­square is equal to 114.83, which of the following statements is true for a 4x5 contingency table at a=.01 ?

a. chi­square obtained is less than the chi­square critical value, so there is a significant relationship between the two variables

b. chi­square obtained is greater than chi­square critical value, so there is not a significant relationship between the two variables

c. chi­square obtained is less than the chi­square critical value, so there is not a significant relationship between the two variables

d. chi­square obtained is greater than chi­square critical value, so there is a significant relationship between the two variables

Math   Statistics-And-Probability   
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Answer #1

Here the hypothesis is,

H0: variables are independent means there is no relationship between the variables.

Against

H1: variables are dependent, means there is a relationship between the variables.

Calculated value=114.83

4×5 contingency table means, number of rows=r=

4 and number of columns =s=5

Degrees of freedom= (r-1)×(s-1)= 3×4=12

Level of significanc==0.01

Critical value= 26.22 ......Using Chi square table

Decision Rule :- Calculated value > critical value

Reject H0 at =0.01% level of significance.

Conclusion:- the variables are dependent means there is significant relationship between the two variables.

Option d)

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