Question

Sam wants to know if the geographical area that a student grew up in is associated with whether or not that the student drinks alcohol. Below are the results he obtained from a random sample of college students. Conduct a Chi-square test to find out.

	No	Yes	Total
Big City	21	65	86
Rural	11	130	141
Small Town	18	198	216
Suburban	37	345	382
Total	87	738	825

Answer 1

Here we have to test Hoi Area that a student grew up in is not associated cindependent) with whether or not that the student deinks alcohol | US Hi : Area that a student grew up in is associated (dependent) with whether or not that. the student deinks alcohol. Griver: obseqrect beequencies o Total 86 No. Big city 21 Ruecl 11. small town Suburban Total 130 198 345 738 216 382 825 Expected frequencies I.- Ruw total x coloumn Total Total * No gob9 14.869 Big city Ruced Yes 76.931 126.131 Toted 86 141 small Town 92.778 193.222 216 subuebon Total 40.284 87 341.716 938 38 82 828

Test statistic is - 2 E cal Coir Ei) ? Xe Desting El хз. =43=2 You Coi-Ei )? = (21-9.069² (65-76.9310² 9-06 : 76.931 + (11- 14.869 2 (130-126.1312 C 14.86g 126.131 + 18-22.77872, (198-193.222) ? . 22.778 193. 222 + 37-40.26452 & (345-34157162 - 40.289 341.716 15.696 + 1.85 +1.00 +3.869 + 1.002+o.118 +0.267 +0:0315 x² = 23.8395 X 6257.814 (2=0.05 we reject Hoit Xron X-2 Here 2 x 1.2 we reject Ho at 5% d.o.s. I Tas Arece that a student grew up in is associated with whether or not I that the student drinks celcohol.