Question

A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Fri Day Frequency Sun 160 Mon 205 Tues 220 Wed 250 Thurs 170 Sat 240 208 Determine the null and alternative hypotheses. Ho HA Calculate the test statistic, X x2 =(Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls. B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls C. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.

Answer 1

HO: police calls occur with the same frequency on the different days of week H1:Atleast one day has a different frequency of callsthan the other days FREQUENCY PROBABILITY OBSERVED (o) (P)=1/N EXPECTED EN SUM OF O*P S.NO color (0-E)^2/E 160 1 SUN 2 MON 205 2201 0.143 0.143 0.143 207.6 10.90247 207.6 0.03186 207.61 0.74417 3 TUES 4 WED 250 0.143 207.6 8.67260 170 207.6 6.80061 5 THURS 6 FRI 208 0.143 0.143 0.143 207.6 0.00088 7 SAT 240 207.6 5.06627 N=7 TOTAL 1453 1 1453 32.219 CHI SQUARE TEST STAISTICS = 32.219 DF = N-1 = 7-1 =6 P VALUE = 0.0000 CHISQ.DIST.RT(32.219,6) P VALUE < SIGNIFICANCE VALUE = 0.01 REJECT HO. THERE IS INSUFFICIENT EVIDENCE TO SUPPORT THE CLAIM OPTION A

fundamental error : option B is correct Because october has 31 days 3 of the days of the week occur more than the other days of week