TABLE 12-13
According to an Article in Marketing News, Fewer $\quad$

Short Answer

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.
$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Year }$
$\begin{array}{c|c|c|c}\hline \text { Check Written } & \text { Year 1 } & \text { Year 2 } & \text { ear 3 } \\\hline \text { Yes } & 225 & 175 & 125 \\\text { No } & 275 & 325 & 375\end{array}$
-Referring to Table 12-13, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between year 1 and year 2 using a 0.05 level of significance?