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 null hypothesis?
A) H 0 : $\pi$ 1 $\pi$ $\neq$ 2 = $\pi$ 3
B)H 0 : $\pi$ 1 =$\pi$ 2 $\neq$ $\pi$ 3
C)H 0 : $\pi$ 1 = $\pi$ 2 $\neq$ $\pi$ 3
D)H 0 : $\pi$ 1 = $\pi$ 2 = $\pi$ 3

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 null hypothesis? 
A) H 0 : $\pi$ 1 $\pi$ $\neq$ 2 = $\pi$ 3 
B)H 0 : $\pi$ 1 =$\pi$ 2 $\neq$ $\pi$ 3 
C)H 0 : $\pi$ 1 = $\pi$ 2 $\neq$ $\pi$ 3 
D)H 0 : $\pi$ 1 = $\pi$ 2 = $\pi$ 3

Quizplus · Accepted Answer

The null hypothesis in a study comparing proportions across multiple groups (in this case, years) typically states that there is no difference between the groups. Therefore, the correct form of the null hypothesis is that the proportions of shoppers who pay by cheque are equal across all three years.

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

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