MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A. Find the value of the test statistic. (Round to two or more decimal places.)

B. Find the p-value. (Round to three or more decimal places.)

C. Can we conclude that there is a relationship between the type of Aragon tractor sold and the geographic region of the sale? Use the 0.10 level of significance.

Aragon Equipment, Inc. is a tractor manufacturer that is beginning to realize the importance of sales data in marketing its products. Its two main products are
The Incisor, a tractor used in large agricultural settings, and The Caddy, a smaller tractor primarily used in landscape. The company divides its market into
four geographic regions. With the aim of maximally allocating its resources, Aragon decides to investigate whether there is a relationship between the
variables type of Aragon tractor sold ("The Incisor" or "The Caddy") and geographic region of the sale ("Great Lakes", "Ohio Valley", "Mid-Atlantic", or "Corn
Belt").
The contingency table below summarizes sales data from 500 Aragon tractor sales. Each cell of the table contains three numbers: the first number is the
observed cell frequency (f); the second number is the expected cell frequency (f) under the assumption that there is no relationship between the type of
tractor sold and the geographic region of the sale; and the third number is the following value.
(fo-fe)²
SE
The numbers labeled "Total" are totals for observed frequency.
(Observed cell frequency - Expected cell frequency)²
Expected cell frequency
| D
ON
expand button
Transcribed Image Text:Aragon Equipment, Inc. is a tractor manufacturer that is beginning to realize the importance of sales data in marketing its products. Its two main products are The Incisor, a tractor used in large agricultural settings, and The Caddy, a smaller tractor primarily used in landscape. The company divides its market into four geographic regions. With the aim of maximally allocating its resources, Aragon decides to investigate whether there is a relationship between the variables type of Aragon tractor sold ("The Incisor" or "The Caddy") and geographic region of the sale ("Great Lakes", "Ohio Valley", "Mid-Atlantic", or "Corn Belt"). The contingency table below summarizes sales data from 500 Aragon tractor sales. Each cell of the table contains three numbers: the first number is the observed cell frequency (f); the second number is the expected cell frequency (f) under the assumption that there is no relationship between the type of tractor sold and the geographic region of the sale; and the third number is the following value. (fo-fe)² SE The numbers labeled "Total" are totals for observed frequency. (Observed cell frequency - Expected cell frequency)² Expected cell frequency | D ON
Type of
tractor
The Incisor
The Caddy
Total
Great Lakes
151
145.92
0.177
41
46.08
0.560
192
Geographic region of the sale
Ohio Valley Mid-Atlantic Corn Belt
51
71
77.52
0.548
31
24.48
1.737
102
57
0.632
24
18
2
75
107
99.56
0.556
24
31.44
1.761
131
Total
380
120
500
X
Part 2
Answer the following to summarize the test of the hypothesis that there is no relationship between the type of Aragon tractor sold and the geograph
region of the sale. For your test, use the 0.10 level of significance.
expand button
Transcribed Image Text:Type of tractor The Incisor The Caddy Total Great Lakes 151 145.92 0.177 41 46.08 0.560 192 Geographic region of the sale Ohio Valley Mid-Atlantic Corn Belt 51 71 77.52 0.548 31 24.48 1.737 102 57 0.632 24 18 2 75 107 99.56 0.556 24 31.44 1.761 131 Total 380 120 500 X Part 2 Answer the following to summarize the test of the hypothesis that there is no relationship between the type of Aragon tractor sold and the geograph region of the sale. For your test, use the 0.10 level of significance.
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