Question

QUESTION 1 TABLE 12-4 A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors. ory Location umber of Reported Errors umber of Correct Transactions 71 92 The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations diffe Referring to Table 12-4, at 1% level of significance O there is sufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different O there is insufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different. o there is sufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same. O there is insufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locaions are not al the sam

Answer 1

applying chi square test:

Observed	Oi	location 1	location 2	location 3	location 4	location 5	Total
	reported	11	12	6	9	10	48
	correct	71	88	68	83	92	402
	Total	82	100	74	92	102	450
Expected	Ei=row total*column total/grand total	location 1	location 2	location 3	location 4	location 5	Total
	reported	8.75	10.67	7.89	9.81	10.88	48
	correct	73.25	89.33	66.11	82.19	91.12	402
	Total	82	100	74	92	102	450
chi square    χ2	=(Oi-Ei)2/Ei	location 1	location 2	location 3	location 4	location 5	Total
	reported	0.5805	0.1667	0.4541	0.0674	0.0712	1.340
	correct	0.0693	0.0199	0.0542	0.0080	0.0085	0.160
	Total	0.650	0.187	0.508	0.075	0.080	1.500

for 0.01 level and 4 degree of freedom ; critical value =13.277

as test statistic 1.50 is less then critical value

correct option is :there is insufficient evidence to conclude that ...are not all the same.