A die, suspected of being unfair, was rolled 50 times.The number of times each face appeared was recorded in the following table. $$\begin{array} { | l | c | c | c | c | c | c | }
\hline \text { Face } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Count } & 8 & 10 & 9 & 11 & 5 & 7 \
\hline
\end{array}$$
A)Goodness-of-fit
B)Homogeneity
C)Independence

Question

A die, suspected of being unfair, was rolled 50 times.The number of times each face appeared was recorded in the following table. $$\begin{array} { | l | c | c | c | c | c | c | } 
\hline \text { Face } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Count } & 8 & 10 & 9 & 11 & 5 & 7 \
\hline
\end{array}$$
A)Goodness-of-fit
B)Homogeneity
C)Independence

Quizplus · Accepted Answer

The goodness-of-fit test is appropriate here because it is used to determine how well observed data fit an expected distribution. In this case, it would test if the observed rolls of the die fit the expected uniform distribution of a fair die (where each face is equally likely to appear).

A Die, Suspected of Being Unfair, Was Rolled 50 Times