Question

Workers and​ senior-level bosses were asked if it was seriously unethical to monitor employee​ e-mail. The results are summarized in the table to the right. Use a 0.05 significance level to test the claim that the response is independent of whether the subject is a worker or a boss. Yes No Workers 194 247 Bosses 39 86 a. State the null and the alternative hypotheses. Choose the correct answer below. A. The null​ hypothesis: There is some relationship between response and whether the subject is a worker or a​ senior-level boss. The alternative​ hypothesis: Response is independent of whether the subject is a worker or a​ senior-level boss. B. The null​ hypothesis: Response is independent of whether the subject is a worker or a​ senior-level boss. The alternative​ hypothesis: There is some relationship between response and whether the subject is a worker or a​ senior-level boss. Your answer is correct. b. Assuming independence between the two​ variables, find the expected frequency for each cell of the table. Table of expected frequencies Yes No Workers nothing nothing Bosses nothing nothing ​(Round to the nearest tenth as​ needed.)

Answer 1

Sotution Gven data +b respomue an enpleyee desgnotionae ancl respomie and employee yee desianation are not Yes NOTota lorkers19424 14 Bosses39 86 1a5 total 33 333 566 nle catculat expecta frequencies by Reco total) (cotumn Totox) Grand total cel Row- 441 * 233 56G1815 44 33a 566 =259.451 51, 45 | 125* 333 13.5 566 566

2) To calculate chi squax e test Statistics w calculate this rmula ne each obsesved count E xpectaa) count ) Expectad count obseved coont CO) O.3 6O881 aL 257. 45 59 구 3 05639 51 YS 8G 73 54 2 ー= 6.62579 )

(30 3. 0-05 Jo tp- value SPn ca tot statistic is greater than cseXiaol valve oe eve thaseSufficient evt dence that ond enplo muu hypothesis At 5%. sexpome oyea desnation axe t Independent ie esponse and employee desation that ノ