A sports researcher is interested in determining if there is a relationship between the number of home team and visiting team wins and different sports. A random sample of 526 games is selected and the results are given
Below. Find the critical value χ $$\chi _ { 0 } ^ { 2 }$$ to test the claim that the number of home team and visiting team wins is
Independent of the sport. Use $$\alpha$$ = 0.01. $$\begin{array} { l | c c c c }
& \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \
\hline \text { Home team wins } & 39 & 156 & 25 & 83 \
\text { Visiting team wins } & 31 & 98 & 19 & 75
\end{array}$$
A)11.345
B)12.838
C)7.815
D)9.348

Question

A sports researcher is interested in determining if there is a relationship between the number of home team and visiting team wins and different sports. A random sample of 526 games is selected and the results are given
Below. Find the critical value χ $$\chi _ { 0 } ^ { 2 }$$ to test the claim that the number of home team and visiting team wins is
Independent of the sport. Use $$\alpha$$ = 0.01. $$\begin{array} { l | c c c c } 
& \text { Football } & \text { Basketball } & \text { Soccer } & \text { Baseball } \
\hline \text { Home team wins } & 39 & 156 & 25 & 83 \
\text { Visiting team wins } & 31 & 98 & 19 & 75
\end{array}$$
A)11.345
B)12.838
C)7.815
D)9.348

Quizplus · Accepted Answer

The degrees of freedom for this test is (4-1)(2-1) = 3. At $\alpha = 0.01$, the critical value from the chi-square distribution table for 3 degrees of freedom is 11.345.

A Sports Researcher Is Interested in Determining If There Is χ02\chi _ { 0 } ^ { 2 }χ02​

A Sports Researcher Is Interested in Determining If There Is $\chi _ { 0 } ^ { 2 }$