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In: Statistics and Probability

A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-...

A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like to do so. The firm did a similar study 10 years ago and found that 70% of a random sample of 160salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1and 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.

  1. The company tests to determine at the 0.01 level whether the population proportion has changed from the previous study. Which of the following is most correct?
a
  1. Do not reject the null hypothesis and conclude that that there is not sufficient evidence that the proportion of employees who are interested in a self-improvement course has increased over the past 10 years.
b
  1. Do not reject the null hypothesis and conclude that there is not sufficient evidence that the pro- portion of employees who are interested in a self-improvement course has changed over the past10 years.
c
  1. Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has increased over the past 10 years.
d
  1. Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has changed over the past 10 years.

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orchestra answered 2 years ago
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