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SCENARIO 12-1 a Corporation Randomly Selects 150 Salespeople and Finds 66%66 \%

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SCENARIO 12-1 A corporation randomly selects 150 salespeople and finds that 66%66 \% who have never taken a selfimprovement course would like such a course. The firm did a similar study 10 years ago in which 60%60 \% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1\pi _ { 1 } and π2\pi _ { 2 } 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 Scenario 12-1, if the firm wanted to test whether this proportion has changed from the previous study, which represents the relevant hypotheses? a) H0:π1π2=0H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0 versus H1:π1π20H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0
b) H0:π1π20H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \neq 0 versus H1:π1π2=0H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } = 0
c) H0:π1π20H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \leq 0 versus H1:π1π2>0H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } > 0
d) H0:π1π20H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0 versus H1:π1π2<0H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0

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Definitions:

Residual Interest

The interest remaining in a trust or estate once all prior obligations, claims, or interests have been satisfied.

Equity Instrument

Any contract that evidences a residual interest in the assets of an entity after deducting all of its liabilities.

Derivative Instrument

A financial contract whose value is derived from the value of an underlying asset, index, or rate.

Liabilities

Financial obligations of a business, including money owed to creditors or suppliers.

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