In: Statistics and Probability
Question 4-6: A corporation randomly selects 150 salespeople and
finds that 99 salespeople would like to take a self-improvement
course. The firm did a similar study 10 years ago in which 96
salespeople out of a random sample of 160 salespeople wanted a
self-improvement course. The groups are assumed to be independent
random samples. Let p 1 and p
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.
Which equation should be used to compute the value of the test
statistic ?
A. eq 10.5 |
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B. eq 10.9 |
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C. eq 10.7 |
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D. eq 10.16 |
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 if the test statistic is 1.093?
A. 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. |
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B. Fail to reject the null hypothesis, there is not enough evidence to conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years. |
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C. Fail to reject the null hypothesis, there is not enough evidence to conclude that the proportion of employees who are interested in a self-improvement course has changed over the intervening 10 years. |
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D. 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. |