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 (30.67) 75 (51.11) 14 (33.22) 115 Against 60 (69.33) 95 (115.56) 105 (**) 260 Neutral 34 (20) 30 (33.33) 11 (21.67) 75 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. [2] b) Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’. [7] 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
(30.67)
75
(51.11)
14
(33.22)
115
Against 60
(69.33)
95
(115.56)
105
(**)
260
Neutral 34
(20)
30
(33.33)
11
(21.67)
75
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. [2]
b) Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’. [7]
c) What is the conclusion of this test? Give reasons for your answer.
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