A random sample of residents from various income brackets were asked their opinion on tax reform for the country of Guyana. The data so gathered were analyzed by a statistician and the results he obtained using MINITAB are shown below: Expected counts are printed below observed counts Low Middle High Total For 26 75 14 115 (30.67) (51.11) (33.22) Against 60 95 105 260 (69.33) (115.56) (**) Neutral 34 30 11 75 (20) (33.33) (21.67) Total * 200 130 450 Chi-sq = 0.71 + 11.17 + 11.12 +*** + 3.66 + 11.89 +9.8 + 0.33 + 5.25 = 55.2 DF = ??, p-value =??? a) Carefully define the null and alternative hypotheses of the ?2 test underlying the generation of the above table. b) Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’. c) What is the conclusion of this test? Give reasons for your answer.
A random sample of residents from various income brackets were asked their opinion on tax reform
for the country of Guyana. The data so gathered were analyzed by a statistician and the results he
obtained using MINITAB are shown below:
Expected counts are printed below observed counts
Low Middle High Total
For 26 75 14 115
(30.67) (51.11) (33.22)
Against 60 95 105 260
(69.33) (115.56) (**)
Neutral 34 30 11 75
(20) (33.33) (21.67)
Total * 200 130 450
Chi-sq = 0.71 + 11.17 + 11.12 +*** + 3.66 + 11.89 +9.8 + 0.33 + 5.25 = 55.2
DF = ??, p-value =???
a) Carefully define the null and alternative hypotheses of the ?2 test underlying the generation of the above table.
b) Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’.
c) What is the conclusion of this test? Give reasons for your answer.
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