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Instruction 15-6
Four Surgical Procedures Currently Are Used to Install

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Instruction 15-6
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 centre wants to compare the proportion of clear operations for the four 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 | c | c | c | c | c | } \hline & \text { A } & \text { B } & \text { C } & \text { D } & \text { Total } \\\hline \text { Clear } & 27 & 41 & 21 & 7 & 96 \\\hline \text { Return } & 11 & 15 & 9 & 11 & 46 \\\hline \text { Total } & 38 & 56 & 30 & 18 & 142 \\\hline\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 0.05 level of significance.
-Referring to Instruction 15-6,what is the value of the critical range for the Marascuilo procedure to test for the difference in proportions between procedure A and procedure B using a 0.05 level of significance?


Definitions:

Dynein

is a motor protein in cells which converts chemical energy into mechanical force, moving along microtubules and playing roles in cell division and transport of cellular cargo.

Microtubules

Tubular structures that make up part of the cytoskeleton in all eukaryotic cells, providing shape, support, and facilitating cell division and intracellular transport.

Mitochondria

Organelles within eukaryotic cells that produce ATP through cellular respiration, often referred to as the powerhouse of the cell.

Energy Production

The process of creating energy, typically within organisms by metabolizing nutrients, or through technological means such as electricity generation.

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