Middle High 14 Low Total For 26 75 115 (30.67) (51.11) (33.22) Against 60 95 105 260 (69.33) (115.56) (**) Neutral 34 30 11 75 (21.67) 130 (20) (33.33) Total 200 450

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Using the chi-square statistics table five working out and answers for these questions

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 x2 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.
Transcribed Image Text: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 x2 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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