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3. Five hundred and seventy-four randomly selected men were surveyed to determine whether there is an association between the age of the men and the size of their vehicle. The data was inputted into MINITAB for analysis to determine whether size of vehicle is independent of the age of the men. The following output, exhibit 1, was generated using MINTAB: Exhibit 1 Chi-Square Test for Association: Size of vehicle, Age Rows: Size of vehicle Columns: Age Under 30 30-39 Small 45 30.73 6.6246 23 36.29 4.8686 40-49 16 34.24 9.7197 50-59 32 60 and over All * 0.0801 52 ** 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 2.9280 39 33 210 38.05 45.37 3.3707 Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 33 35.51 0.1777 39 196 42.34 0.2637 All 105 124 117 104 124 574 Cell Contents: Count Chi-Square = Expected count Contribution to Chi-square 44.028, DF = ****, P-Value = 0.000 a) Carefully define the null and alternative hypotheses of the X² test underlying the generation of the above table. b) Fill in the missing values '*','**', ‘***' and ‘***** c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.

3. Five hundred and seventy-four randomly selected men were surveyed to determine whether there is an association between the age of the men and the size of their vehicle. The data was inputted into MINITAB for analysis to determine whether size of vehicle is independent of the age of the men. The following output, exhibit 1, was generated using MINTAB: Exhibit 1 Chi-Square Test for Association: Size of vehicle, Age Rows: Size of vehicle Columns: Age Under 30 30-39 Small 45 30.73 6.6246 23 36.29 4.8686 40-49 16 34.24 9.7197 50-59 32 60 and over All * 0.0801 52 ** 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 2.9280 39 33 210 38.05 45.37 3.3707 Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 33 35.51 0.1777 39 196 42.34 0.2637 All 105 124 117 104 124 574 Cell Contents: Count Chi-Square = Expected count Contribution to Chi-square 44.028, DF = ****, P-Value = 0.000 a) Carefully define the null and alternative hypotheses of the X² test underlying the generation of the above table. b) Fill in the missing values '*','**', ‘***' and ‘***** c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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3. Five hundred and seventy-four randomly selected men were surveyed to determine whether there is an association between the age of the men and the size of their vehicle. The data was inputted into MINITAB for analysis to determine whether size of vehicle is independent of the age of the men. The following output, exhibit 1, was generated using MINTAB: Exhibit 1 Chi-Square Test for Association: Size of vehicle, Age Rows: Size of vehicle Columns: Age Under 30 30-39 Small 45 30.73 6.6246 23 36.29 4.8686 40-49 16 34.24 9.7197 50-59 32 60 and over All * 0.0801 52 ** 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 2.9280 39 33 210 38.05 45.37 3.3707 Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 33 35.51 0.1777 39 196 42.34 0.2637 All 105 124 117 104 124 574 Cell Contents: Count Chi-Square = Expected count Contribution to Chi-square 44.028, DF = ****, P-Value = 0.000 a) Carefully define the null and alternative hypotheses of the X² test underlying the generation of the above table. b) Fill in the missing values '*','**', ‘***' and ‘***** c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.
Transcribed Image Text:3. Five hundred and seventy-four randomly selected men were surveyed to determine whether there is an association between the age of the men and the size of their vehicle. The data was inputted into MINITAB for analysis to determine whether size of vehicle is independent of the age of the men. The following output, exhibit 1, was generated using MINTAB: Exhibit 1 Chi-Square Test for Association: Size of vehicle, Age Rows: Size of vehicle Columns: Age Under 30 30-39 Small 45 30.73 6.6246 23 36.29 4.8686 40-49 16 34.24 9.7197 50-59 32 60 and over All * 0.0801 52 ** 36.29 6.7981 Mid-size 37 38.41 0.0521 47 45.37 0.0589 54 42.80 2.9280 39 33 210 38.05 45.37 3.3707 Large 23 35.85 4.6081 54 42.34 3.2101 47 39.95 1.2436 33 35.51 0.1777 39 196 42.34 0.2637 All 105 124 117 104 124 574 Cell Contents: Count Chi-Square = Expected count Contribution to Chi-square 44.028, DF = ****, P-Value = 0.000 a) Carefully define the null and alternative hypotheses of the X² test underlying the generation of the above table. b) Fill in the missing values '*','**', ‘***' and ‘***** c) Using α = 5%, what is the conclusion of this test? Give reasons for your answer.
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