Question

The police department in Madison, Connecticut released the following numbers of calls for the different days of the week for a February that has 28 days: Monday (114), Tuesday (152), Wednesday (160), Thursday (164), Friday (179), Saturday (196), Sunday (130). Use a 0.01 level of significance to test the claim that the different days of the week have the same frequency of phone calls. a. Write the null and alternative hypotheses. Label the claim. b. Draw the graph and shade the critical area(s). Place the critical value(s) on the graph. c. Fill in the following: Critical Value(s) Test Statistic P Value d. Circle one: REJECT H or FAIL TO REJECT H, e. Statement of conclusion:

Answer 1

Solution Hoi Noods calls for a different days of wear bor a bebruary not depend Upon a days of weak H: Mo. of calls for a different days of weak for a february is depend Upon the days of week. critical value At (ht) = 1) = 6 d f e da.01 1610119 6,101 = x=10] For test - statistics Mote that undles Ho 22 = 1600119 6.00 Expected fresuency (le) = 1144152+160+ 164+179+196+130 7 lie 156.4206 Day observed li colo Oi le Мои 114 156.4206-42,4286/1800, 1061 Tues 152 156.4206-614206 19,6125 wed 160 1156.4206 3.5714 12,7549 THN 164 156.4286 7.5714 57.3261 Friday 179 156.4206 22:5714 509, 4601 Sat 196 156.428639,5714 1565.8957 son 130 156.42861-26,4286 698.4709 ©1-6) li 156.4286 122=29,8137 (4663.9143] test Statistics=2²=

value = P { x² > 29, 81377 at 1) = (2-1)=694 0000 4265 Ho a Here k value is less than a = 101 so Reject in Rejectno e h we conclude that no. of calls for february is depend upon the days of week.