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

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.
$$\begin{array}{l}\text {\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad Year }\\\begin{array} { c | c | c | c } \hline \text { Check Written } & \text { Year 1 } & \text { Year 2}&\text{ Year 3 } \\\hline \text { Yes } & 225 & 175 & 125 \\\text { No } & 275 & 325 & 375\end{array}\end{array}$$
-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 2 and year 3 using a 0.05 level of significance?