Problem 9. At a recent automobile show, a sample of 125 people produced the following results. Use the 0.05 significance level to determine if there is a relationship between age and model preferred. Age (in Years) Sports SUV Luxury Under 30 18 12 10 15 13 9 22 36 45 30 to 50 Over 50 Total 17 9 44 Total 40 45 40 125

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Chapter1: Starting With Matlab
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i) Find the table of expected counts. Justify your answers.
ii) Determine the test statistic.
iii) Determine the p-value or Rejection Region. Use alpha = 0.05.
iv) Provide your conclusion in the context of this problem.

Problem 9. At a recent automobile show, a sample of 125 people produced the
following results. Use the 0.05 significance level to determine if there is a relationship
between age and model preferred.
Age (in Years)
Under 30
30 to 50
Over 50
Total
Sports SUV Luxury
18
12
10
17
15
13
9
9
22
44
36
45
i) Find the table of expected counts. Justify your answers.
Total
40
45
40
125
X
S
Age (in Years) Sports SUV Luxury
Under 30
30 to 50
Over 50
Transcribed Image Text:Problem 9. At a recent automobile show, a sample of 125 people produced the following results. Use the 0.05 significance level to determine if there is a relationship between age and model preferred. Age (in Years) Under 30 30 to 50 Over 50 Total Sports SUV Luxury 18 12 10 17 15 13 9 9 22 44 36 45 i) Find the table of expected counts. Justify your answers. Total 40 45 40 125 X S Age (in Years) Sports SUV Luxury Under 30 30 to 50 Over 50
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