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A ran TI1.4 Auming H, is true, the espected number of H xciss TIL4 to T1L6 refer

ID: 2908006 • Letter: A

Question

A ran TI1.4 Auming H, is true, the espected number of H xciss TIL4 to T1L6 refer to the following s esamined. The tickets are clanifiedl according to the race of (a) S the driver The reults are summarized in the following table(b) 10.36 Race Number of 69 etting | Panic drivers who would receive a ticket h (c) I1 ? tickets gven 10 inohrists in alarge city e) 12 (d) 11S4 T11.5, We compute the value of the x statisdic to be 6 58 Assuming that the conditions for inference are met, the Psalue of our test is (a) greater than 0.20 Whle Black Hispanic Other 18 tickets The proportion of this city's population in cach of the racial b) between 0.10 amd 0.20 c) between 0% and 0.10 categories listed above is as follows Race Proportion 055 030 0.08 0.0 We wish to test The racial distribution of traffic tickets nent to the x' statistic is (d) between 0.01 and 0.05 (e) less than 0.01 TI 1.6. The category that contributes the largest compo- White Black Hispanic Other (c) Hispanic (d) Other in the city is the samc as the racial distribution of the citys b) Black. (e) The answer cannot be determined since this is only a sample lation

Explanation / Answer

4)

E(Hispanic) = 148*0.08 = 11.84

5)

p-value = 0.086

C) 0.05 to 0.10 is correct

6)

3.204864865 is maximum , which correspond to Hispanic

p Oi Ei (Oi-Ei)^2/Ei 0.55 69 81.4 1.888943489 0.3 52 44.4 1.300900901 0.08 18 11.84 3.204864865 0.07 9 10.36 0.178532819 1 148 148 6.573242073 TS 6.573242073 critical value 7.814727903 p-value 0.086818342
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