SCENARIO 10-10
a Corporation Randomly Selects 150 Salespeople and Finds $\pi$

question 155

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 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 10-10,construct a 99% confidence interval estimate of the difference in proportion of workers who would like to attend a self-improvement course in the recent study and the past study.

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Definitions:

Continuous Random Variables

Continuous random variables are quantities that can assume an infinite number of values within a given range, often representing measurements that can vary continuously.

Continuous Random Variables

Variables that can take any value within a given interval, including every possible value between any two values.

Discrete Random Variables

Variables that represent counts or numbers that can be listed and have a countable range of possible values.

Uniform Distribution

A probability distribution in which every outcome has an equal chance of happening.