SCENARIO 10-10
a Corporation Randomly Selects 150 Salespeople and Finds $\pi _ { 1 } \text { and } \pi _ { 2 }$

question 177

Short Answer

SCENARIO 10-10
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 $\pi _ { 1 } \text { and } \pi _ { 2 }$ 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 10-11, if the firm wanted to test whether this proportion has changed from the previous study, which represents the relevant hypotheses? a) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0$
b) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \neq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } = 0$
c) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \leq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } > 0$
d) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0$

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Relating to the government or public affairs of a country.

National

Pertaining to or characteristic of a whole nation or country, as opposed to local or regional characteristics.