Instruction 10-12 A Corporation Randomly Selects 150 Salespeople and Finds That 66

question 24

Multiple Choice

Instruction 10-12
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π₁ and π₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.
-Referring to Instruction 10-12,what is/are the critical value(s) when performing a Z test on whether population proportions are different if α = 0.05?

• A) ± 1.96
• B) -1.96
• C) ± 2.08
• D) ± 1.645

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Definitions:

Standard Form

A structured format for presenting arguments or equations in a universally understood manner.

Proposition

A declarative sentence that can be either true or false but not both.

Hypothetical Syllogism

A logical argument form where two conditional statements lead to a conclusion, essentially connecting the antecedent of one to the consequent of the other.

Modus Ponens

A form of deductive reasoning that allows one to conclude a certain proposition if a conditional statement (if-then) is true and its antecedent is true.