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 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 ‘???’.  c) What is the conclusion of this test? Give reasons for your answer.

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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

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 ‘???’. 
c) What is the conclusion of this test? Give reasons for your answer.

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)
200
(21.67)
Total
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 =???
Transcribed Image Text: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) 200 (21.67) Total 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 =???
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