After completing sales training for a large company, it is expected that the sal

Question

After completing sales training for a large company, it is expected that the salesperson will generate a sale on at least 15 percent of the calls he or she makes. To make sure that the sales training process is working, a random sample of n = 400 sales calls made by sales representatives who have completed the training have been selected and the null hypothesis is to be tested at 0.05 alpha level. Suppose that a sale is made on 36 of the calls. Based on this information, what is the test statistic for this test?

Explanation / Answer

Formula

zTestStatistic = (p' - p) / sqrt( p * q / n ), where:
p is the claim percentage
q is the complement of the claim percentage
p' is the sampling percentage
n is the number of trials

the normal distribution curve with zTestStatistic as the boundary of the region."

zTestStatistic = (p' - p) / sqrt( p * q / n ), where:
p = 0.15
q = 0.85
p' = 36/400
n = 400

zTestStatistic = (36/400 - 0.15) / sqrt( 0.15 * 0.85 / 400 ) = -3.36

zTestStatistic = -3.36

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