A soft drink company is interested in knowing whether there is a relationship between cola preference and age. A random sample of 800 people is chosen for a taste test. The results of the study are found in the following table. Is there sufficient evidence at the 0.005 level of significance to lead you to believe that there is an association between cola preference and age? Observed Sample of 800 People Cola A Cola B Cola C Total 15-29 94 102 105 301 30-44 99 97 86 282 45-59 68 73 76 217 Total 261 272 267 800 Expected Values Cola B Cola A Cola C Total (301)(261)/800 (282)(261)/800 (217)(261)/800 261 15-29 (301)(272)/800 (282)(272)/800 (217)(272)/800 272 (301)(267)/800 (282)(267)/800 (217)(267)/800 267 301 30-44 282 45-59 217 Total 800

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A soft drink company is interested in knowing whether there is a relationship between cola
preference and age. A random sample of 800 people is chosen for a taste test. The results of the
study are found in the following table. Is there sufficient evidence at the 0.005 level of
significance to lead you to believe that there is an association between cola preference and age?
Observed Sample of 800 People
Cola A
Cola B
Cola C
Total
15-29
94
102
105
301
30-44
99
97
86
282
45-59
68
73
76
217
Total
261
272
267
800
Expected Values
Cola A
Cola B
Cola C
Total
(301)(272)/800
(282)(272)/800
(217)(272)/800
272
15-29
301
(301)(261)/800
(282)(261)/800
(217)(261)/800
(301)(267)/800
(282)(267)/800
(217)(267)/800
30-44
282
45-59
217
Total
261
267
800
Transcribed Image Text:A soft drink company is interested in knowing whether there is a relationship between cola preference and age. A random sample of 800 people is chosen for a taste test. The results of the study are found in the following table. Is there sufficient evidence at the 0.005 level of significance to lead you to believe that there is an association between cola preference and age? Observed Sample of 800 People Cola A Cola B Cola C Total 15-29 94 102 105 301 30-44 99 97 86 282 45-59 68 73 76 217 Total 261 272 267 800 Expected Values Cola A Cola B Cola C Total (301)(272)/800 (282)(272)/800 (217)(272)/800 272 15-29 301 (301)(261)/800 (282)(261)/800 (217)(261)/800 (301)(267)/800 (282)(267)/800 (217)(267)/800 30-44 282 45-59 217 Total 261 267 800
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