Instruction 15-7
According to an article in Marketing News, fewer cheques are being written at grocery store checkout stands than in the past. To determine whether there is a difference in the proportion of shoppers who pay by cheque among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.
$$\begin{array} { | l | c | c | c | }
\hline \text { Cheque Written } & \text { Year 1 } & \text { Year 2 } & \text { Year 3 } \
\hline \text { Yes } & 225 & 175 & 125 \
\hline \text { No } & 275 & 175 & 125 \
\hline
\end{array}$$
-Referring to Instruction 15-7,what is the form of the alternative hypothesis?
A) H 1 : $\pi$ 1 $\neq$ $\pi$ 2 = $\pi$ 3
B)H 1 : $\pi$ 1 = $\pi$ 2 $\neq$$\pi$ 3
C)H 1 :$\pi$ 1 $\neq$ $\pi$ 2 $\neq$$\pi$ 3
D)H 1 : not all $\pi$ j are the same

Question

Instruction 15-7
According to an article in Marketing News, fewer cheques are being written at grocery store checkout stands than in the past. To determine whether there is a difference in the proportion of shoppers who pay by cheque among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below.
 $$\begin{array} { | l | c | c | c | } 
\hline \text { Cheque Written } & \text { Year 1 } & \text { Year 2 } & \text { Year 3 } \
\hline \text { Yes } & 225 & 175 & 125 \
\hline \text { No } & 275 & 175 & 125 \
\hline
\end{array}$$
-Referring to Instruction 15-7,what is the form of the alternative hypothesis? 
A) H 1 : $\pi$ 1 $\neq$ $\pi$ 2 = $\pi$ 3 
B)H 1 : $\pi$ 1 = $\pi$ 2 $\neq$$\pi$ 3 
C)H 1 :$\pi$ 1 $\neq$ $\pi$ 2 $\neq$$\pi$ 3 
D)H 1 : not all $\pi$ j are the same

Quizplus · Accepted Answer

The alternative hypothesis in a test comparing proportions across multiple groups (in this case, years) typically states that not all group proportions are equal, indicating at least one group differs from the others.

Instruction 15-7 According to an Article in Marketing News, Fewer

Instruction 15-7
According to an Article in Marketing News, Fewer