TABLE 12-13
According to an article in Marketing News, fewer checks 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 check 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.
$$\text { Year }$$
$$\begin{array} { c | r | r | r }
\text { Check Writter } & \text { Year } 1& \text { Year 2 } & \text { Year 3 } \
\hline \text { Yes } & 225 & 175 & 125 \
\text { No } & 275 & 325 & 375
\end{array}$$
-Referring to Table 12-13, what is the correct conclusion?
A) There is not enough evidence that at least two of the proportions are not equal.
B) There is enough evidence that the proportions are all different in the 3 years.
C) There is enough evidence that at least two of the proportions are not equal.
D) There is not enough evidence that the proportions are all different in the 3 years.

Question

TABLE 12-13
According to an article in Marketing News, fewer checks 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 check 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.
 $$\text { Year }$$
$$\begin{array} { c | r | r | r } 
\text { Check Writter } & \text { Year } 1& \text { Year 2 } & \text { Year 3 } \
\hline \text { Yes } & 225 & 175 & 125 \
\text { No } & 275 & 325 & 375
\end{array}$$
-Referring to Table 12-13, what is the correct conclusion?
A) There is not enough evidence that at least two of the proportions are not equal.
B) There is enough evidence that the proportions are all different in the 3 years.
C) There is enough evidence that at least two of the proportions are not equal.
D) There is not enough evidence that the proportions are all different in the 3 years.

Quizplus · Accepted Answer

The chi-square test for independence can be used to determine if there is a significant difference in the proportions of check writers across the three years. Given the data, the test would likely show that at least two of the proportions are not equal, indicating a change in behavior over the years.

TABLE 12-13 According to an Article in Marketing News, Fewer Year \text { Year } Year

TABLE 12-13
According to an Article in Marketing News, Fewer $\text { Year }$