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?
Find the z-score to make a conclusion.
Round the answer to two decimal places.
Find observed Z and whether to reject or fail to reject.