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TABLE 12-9
Four Surgical Procedures Currently Are Used to Install

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TABLE 12-9
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the 4 procedures, and collects the following numbers of patients from their own records:
Procedure  A  B  C  D  Total  Clear 274121796 Return 111591146 Total 38563018142\begin{array}{l}\text {\quad\quad\quad\quad\quad\quad\quad\quad Procedure }\\\begin{array} { l | r r r r | r } & \text { A } & \text { B } & \text { C } & \text { D } & \text { Total } \\\hline \text { Clear } & 27 & 41 & 21 & 7 & 96 \\\text { Return } & 11 & 15 & 9 & 11 & 46 \\\hline \text { Total } & 38 & 56 & 30 & 18 & 142\end{array}\end{array} They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.
-Referring to Table 12-9, what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between procedure A and procedure C using a 0.05 level of significance?

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Territory Acquisition

The process by which a country or state expands its land and jurisdiction through purchase, negotiation, conquest, or discovery, significantly impacting its political and geographical landscape.

Ethnic Diversity

The presence of a wide range of distinct ethnic, cultural, and national groups within a given society or area.

California Population

The total number of individuals residing in California, reflecting its status as one of the most populous states in the United States.

Treaty of Guadalupe Hidalgo

The 1848 treaty that ended the Mexican-American War and resulted in the United States acquiring territories including modern-day California, Nevada, and Utah.

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