Perform the indicated goodness-of-fit test. You roll a die 48 times with the following results. $$\begin{array} { c | c | r | r | r | r | r }
\text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Frequency } & 4 & 13 & 2 & 14 & 13 & 2
\end{array}$$ Use a significance level of 0.05 to test the claim that the die is fair.

Question

Perform the indicated goodness-of-fit test. You roll a die 48 times with the following results. $$\begin{array} { c | c | r | r | r | r | r } 
\text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Frequency } & 4 & 13 & 2 & 14 & 13 & 2
\end{array}$$ Use a significance level of 0.05 to test the claim that the die is fair.

Quizplus · Accepted Answer

The Answer is

H _ { 0 }

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

H _ { 1 }

: The die is not fair.
Test statistic:

\chi ^ { 2 } = 21.75

. 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.

Perform the Indicated Goodness-Of-Fit Test Use a Significance Level of 0