Conduct the Appropriate Test to Determine If the Population Proportions

question 127

Essay

Conduct the appropriate test to determine if the population proportions for the two treatments differ at the α =0.05 level of significance. Assume that the samples are dependent and obtained randomly. $\begin{array}{l}\begin{array}{ll|cc} &&\text { Treatment A }\\& & \text { Success } & \text { Failure } \\ \hline \text { Treatment B } & \text { Success } & 260& 32 \\& \text { Failure } & 49 & 180\end{array}\end{array}$

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Definitions:

Tolerances of Size

Specifies the permissible limits of variation in an object's size, critical for ensuring parts fit together properly in manufacturing.

Cylindrical Tolerance Zone

A specified range of acceptable measurements or dimensions for the diameter or roundness of cylindrical parts, ensuring proper fit and function.

Specified Tolerance

The permissible limit or range of variation defined for a dimension, material condition, or geometric characteristic.

Angularity

A geometric dimensioning and tolerancing (GD&T) term that describes the angle tolerance of a feature relative to a datum.