Question

There are several methods used by people to organize their lives in terms of keeping track of appointments, meetings, and deadlines. Some of these include using a desk calendar, using informal notes of scrap paper, keeping them “in your head,” using a day planner, and keeping a formal “to do” list. Suppose a business researcher wants to test the hypothesis that a greater proportion of marketing managers keep track of such obligations “in their head” than do accountants. To test this, a business researcher samples 400 marketing managers and 450 accountants. Of those sampled, 220 marketing managers keep track “in their head” while 216 of the accountants
do so. Using a 1% level of significance, what does the business researcher find?

Answer 1

Let p₁ be the population proportion of marketing managers and p₂ be the population proportion for accountants keeping track in their head

Hypotheses Statements are

Ho: p₁ = p₂

Ha: p₁ > p₂

For Marketing Managers, Sample proportion is

For Accountants, the sample proportion is

Value of Pooled Proportion is given by

Test statistics (z value )

p-value

For the test statistic, z = 2.038, and right-tailed test, the p-value is 0.0208

Decision Rule

If the p-value is less than alpha (0.01), we reject the null.

Here p-value is greater than alpha, So we fail to reject the null

Conclusion

At 1% significance level, there is no statistical evidence to conclude that a greater proportion of marketing managers keep track of such obligations “in their head” than do accountants