a) Carefully define the null and alternative hypotheses of the χ2 test underlying the generation of the above table. b) Fill in the missing values ‘*’, ‘**’, ‘***’, ‘****’ and ‘*****’. c) What is the conclusion of this test at the 5% level of significance? Give reasons for your answer. d) Name two limitations of this test.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
100%

a) Carefully define the null and alternative hypotheses of the χ2 test underlying the generation of the above table.

b) Fill in the missing values ‘*’, ‘**’, ‘***’, ‘****’ and ‘*****’.

c) What is the conclusion of this test at the 5% level of significance? Give reasons for your answer.

d) Name two limitations of this test. 

The data below shows car model and the color of vehicles sold at a Car dealership.
Hyundai
20
Honda
11
Toyota
6
15.40
8.648
13.51
Red
Black
White
Total
Chi Sq =
1.37
0.22
0.28
15
16.95
22
24.65
57
+0.64
+1.30
+ 4.18
+ ***
6
9.51
15
13.84
32
18
14.86
+ 0.02
26
21.62
50
+0.00 + 0.04 +
+0.75 +
Daihatsu
8
*
DF = ****, P-Value = *****
No cells with expected counts less than 5
9
8.62
12
12.54
29
+ 0.10 +0.89 + 0.02 + 0.75 = 10.47
Subaru
5
4.59
7
5.05
5
7.35
17
Total
50
55
**
185
Transcribed Image Text:The data below shows car model and the color of vehicles sold at a Car dealership. Hyundai 20 Honda 11 Toyota 6 15.40 8.648 13.51 Red Black White Total Chi Sq = 1.37 0.22 0.28 15 16.95 22 24.65 57 +0.64 +1.30 + 4.18 + *** 6 9.51 15 13.84 32 18 14.86 + 0.02 26 21.62 50 +0.00 + 0.04 + +0.75 + Daihatsu 8 * DF = ****, P-Value = ***** No cells with expected counts less than 5 9 8.62 12 12.54 29 + 0.10 +0.89 + 0.02 + 0.75 = 10.47 Subaru 5 4.59 7 5.05 5 7.35 17 Total 50 55 ** 185
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2. Name two limitations of this test. 

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