A die,suspected of being unfair,was rolled 50 times.The number of times each face appeared was recorded in the following table. $$\begin{array} { c | c }
\text { Face } & \text { Count } \
\hline 1 & 8 \
2 & 10 \
3 & 9 \
4 & 11 \
5 & 5 \
6 & 7
\end{array}$$
A)H0: The counts are normally distributed over the faces. HA: The counts are not normally distributed over the faces.
B)H0: The counts and faces are independent. HA: The counts and faces are not independent.
C)H0: The counts and faces are not independent. HA: The counts and faces are independent.
D)H0: The counts are not uniformly distributed over the faces. HA: The counts are uniformly distributed over the faces.
E)H0: The counts are uniformly distributed over the faces. HA: The counts are not uniformly distributed over the faces.

Question

A die,suspected of being unfair,was rolled 50 times.The number of times each face appeared was recorded in the following table. $$\begin{array} { c | c } 
\text { Face } & \text { Count } \
\hline 1 & 8 \
2 & 10 \
3 & 9 \
4 & 11 \
5 & 5 \
6 & 7
\end{array}$$
A)H0: The counts are normally distributed over the faces. HA: The counts are not normally distributed over the faces.
B)H0: The counts and faces are independent. HA: The counts and faces are not independent.
C)H0: The counts and faces are not independent. HA: The counts and faces are independent.
D)H0: The counts are not uniformly distributed over the faces. HA: The counts are uniformly distributed over the faces.
E)H0: The counts are uniformly distributed over the faces. HA: The counts are not uniformly distributed over the faces.

Quizplus · Accepted Answer

The null hypothesis (H0) should be that the counts are uniformly distributed over the faces, and the alternative hypothesis (HA) should be that the counts are not uniformly distributed, which aligns with option E.

A Die,suspected of Being Unfair,was Rolled 50 Times Face Count 18210394115567\begin{array} { c | c } \text { Face } & \text { Count } \\\hline 1 & 8 \\2 & 10 \\3 & 9 \\4 & 11 \\5 & 5 \\6 & 7\end{array} Face 123456​ Count 81091157​​

A Die,suspected of Being Unfair,was Rolled 50 Times $\begin{array} { c | c } \text { Face } & \text { Count } \\\hline 1 & 8 \\2 & 10 \\3 & 9 \\4 & 11 \\5 & 5 \\6 & 7\end{array}$