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

question 130

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.
$$\begin{array}{l}\text {\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad Year }\\\begin{array} { c | c | c | c } \hline\text { Check Written } & \text { Year 1 } & \text { Year 2 }&\text{Year 3 } \\\hline \text { Yes } & 225 & 175 & 125 \\\text { No } & 275 & 325 & 375\end{array}\end{array}$$
-Referring to Table 12-13, what is the critical value?

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Definitions:

Critical Value

A critical value is a point on a statistical distribution that represents a cutoff used to determine the likelihood of observing a statistic as extreme as, or more extreme than, the observed value.

One-way ANOVA

A statistical test used to determine if there are statistically significant differences between the means of three or more independent (unrelated) groups based on one independent variable.

F-ratio

A statistical measure used in analysis of variance (ANOVA) to determine the degree of variation between sample means in comparison to variation within the samples.

Critical Value

A point on the test distribution that is compared to the test statistic to decide whether to reject the null hypothesis.