Use the sign test to test the indicated claim. Fourteen people rated two brands of soda on a scale of 1 to 5. $$\begin{array}{l}
\begin{array} { | l | l l l l l l l | }
\hline \text { Brand A } & 2 & 3 & 2 & 4 & 3 & 1 & 2 \
\hline \text { Brand B } & 1 & 4 & 5 & 5 & 1 & 2 & 3
\end{array}\
\begin{array} { l | l l l l l l l }
\text { Brand A } & 5 & 4 & 2 & 1 & 1 & 4 & 3 \
\hline \text { Brand B } & 4 & 5 & 5 & 2 & 4 & 5 & 4 \
\hline
\end{array}
\end{array}$$ At the 5 percent level, test the null hypothesis that the two brands of soda are equally popular.

Question

Use the sign test to test the indicated claim. Fourteen people rated two brands of soda on a scale of 1 to 5. $$\begin{array}{l}
\begin{array} { | l | l l l l l l l | } 
\hline \text { Brand A } & 2 & 3 & 2 & 4 & 3 & 1 & 2 \
\hline \text { Brand B } & 1 & 4 & 5 & 5 & 1 & 2 & 3
\end{array}\
\begin{array} { l | l l l l l l l } 
\text { Brand A } & 5 & 4 & 2 & 1 & 1 & 4 & 3 \
\hline \text { Brand B } & 4 & 5 & 5 & 2 & 4 & 5 & 4 \
\hline
\end{array}
\end{array}$$ At the 5 percent level, test the null hypothesis that the two brands of soda are equally popular.

Quizplus · Accepted Answer

The Answer is

H _ { 0 }

: The two brands of soda are equally popular.

H _ { 1 }

: The two brands of soda are not equally popular. Test statistic:

x = 3

. Critical value:

x = 2

.
Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the

t

brands are equally popular. o

Use the Sign Test to Test the Indicated Claim At the 5 Percent Level, Test the Null Hypothesis That