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

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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.
 Cheque Written  Year 1  Year 2  Year 3  Yes 225175125 No 275175125\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 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?


Definitions:

Conservative Reaction

A response aiming to preserve traditional structures, values, and practices in the face of perceived changes or threats to social, cultural, or political norms.

Society

A group of individuals involved in persistent social interaction, or a large social group sharing the same spatial or social territory, typically subject to the same political authority and dominant cultural expectations.

Entity

An object, being, organization, or concept that exists independently with a distinct identity.

Survival of The Fittest

A concept derived from Darwinian evolutionary theory, describing the mechanism through which natural selection occurs, favoring traits that enhance survival and reproduction.

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