Perform a Chi-Square Independence Test Using the Critical Value Approach $$\begin{array} { r | r c } & \text { Correct } & \text { Incorrect } \\ \hline \text { Math } & 27 & 53 \\ \text { English } & 43 & 37 \end{array}$$

question 29

Essay

Perform a chi-square independence test using the critical value approach, provided the conditions for using the test aremet. Be sure to state the hypotheses and the significance level, to obtain the expected frequencies, to obtain the criticalvalue, to compute the value of the test statistic, and to state your conclusion.
-160 students who were majoring in either math or English were asked a test question, and the researcher recorded whether they answered the question correctly. The sample results are given below. At the 0.10 significance level, do the data provide sufficient evidence to conclude that an association exists between response and major? $$\begin{array} { r | r c } & \text { Correct } & \text { Incorrect } \\ \hline \text { Math } & 27 & 53 \\ \text { English } & 43 & 37 \end{array}$$

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Definitions:

Drive Theory

A theory suggesting that motivation arises from biological or physiological needs that push individuals to satisfy them and restore balance.

Homeostasis

The ability of organisms or cells to regulate their internal environment and maintain a stable, constant condition in response to external changes.

Physiological Needs

Basic physical requirements for human survival, such as air, food, water, and shelter, as outlined in Maslow's hierarchy of needs.

Refractory Period

A period immediately following an action (like a nerve impulse or muscle contraction) during which a cell is incapable of repeating the action.