A Researcher Wishes to Determine Whether the Proportion of Canadian $\mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 }$

question 36

Essay

A researcher wishes to determine whether the proportion of Canadian women who smoke differs from the proportion of Canadian men who smoke.He wants to test the hypothesis $\mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 }$ where $\mathrm { p } _ { 1 }$ represents the proportion of Canadian women who smoke and $\mathrm { P } _ { 2 }$ represents the proportion of Canadian men who smoke.He randomly selects 100 married couples.Among the 100 women in the sample are 21 smokers.Among the 100 men are 29 smokers.Are the assumptions for a two-sample z-test for two population proportions met? If not,which assumption is violated and why?

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Definitions:

Machiavellian Behaviour

Refers to a person's tendency to deceive and manipulate others for personal gain, based on the philosophies of Niccolò Machiavelli.

Organizational Politics

The activities and behaviors individuals engage in within a workplace to gain power, influence decisions, and achieve personal or organizational objectives.

Beneficial

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Strategic Contingencies

Critical events or factors that significantly influence the success of strategies or decision-making processes within organizations.