Use a ? 2 test to test the claim that in the given contingency table, the row variable and the column variable are independent
-You roll a die 48 times with the following results. $$\begin{array} { c | r | r | r | r | r | r }
\text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Frequency } & 14 & 4 & 2 & 1 & 12 & 15
\end{array}$$ Use a significance level of 0.05 to test the claim that the die is fair.

Question

Use a ? 2 test to test the claim that in the given contingency table, the row variable and the column variable are independent
-You roll a die 48 times with the following results. $$\begin{array} { c | r | r | r | r | r | r } 
\text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Frequency } & 14 & 4 & 2 & 1 & 12 & 15
\end{array}$$ Use a significance level of 0.05 to test the claim that the die is fair.

Quizplus · Accepted Answer

The Answer is

\mathrm { H } _ { 0 }

: The die is fair (all numbers occur with equal frequency).

\mathrm { H } _ { 1 }

: The die is not fair.
Test statistic:

\chi ^ { 2 } = 25.25

. Critical value:

\chi ^ { 2 } = 11.070

. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the die is fair. Provide an appropriate response.

Use a ?2 Test to Test the Claim That in the Given

Use a ?² Test to Test the Claim That in the Given