Question

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 pi1 and pi2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. The company tests to determine at the 0.05 level whether the population proportion has changed from the previous study. Which of the following is most correct?

		a. Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has changed over the intervening 10 years.
		b. Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years.
		c. Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.
		d. Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.

Answer 1

The statistical software output for this problem is:

From above output:

P - value = 0.3744 which is greater than significance level. Hence,

Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years.

Option B is correct.