Observed frequencies	Management Level
Top	Middle	Row Totals
Major	Management	280	220	500
Marketing	120	80	200
Accounting	150	150	300
	Column Totals	550	450	1,000

We want to determine if the position in management is independent of field (major) of concentration.The expected number of middle managers with a marketing major is Answer , the calculated value for the test statistic equals Answer , and the number of degrees of freedom associated with this problem is Answer . (Your answers for the expected number of adults who prefer coffee and degrees of freedom should be whole numbers, but round your answer for the test statistic to two decimal places.)

Considering the data outlined above, thep-value is less thangreater than (Select less than or greater than.) 0.05, so we rejectfail to reject (Select reject or fail to reject.) the null hypothesis, and the conclusion of the test at the 5% level of significance is that position in management and field (major) of concentration areare not (Select are or are not.) independent.