You conduct a study to determine whether men and women have different colour preferences when buying a new car. In a questionnaire, you ask respondents to indicate their sex (male/female) and which of four possible colours they would choose when buying a new car. The table below shows the frequencies you observed: Male Female Total White 11 22 33 Male Female Total Blue 16 White 17.43 15.57 33.00 6 22 Red 10 12 22 The expected frequencies under the null hypothesis that there are no differences between men and women in colour preference are as follows: Blue 11.62 10.38 22.00 Green 19 10 29 Red 11.62 10.38 22.00 Total 56 50 106 Green 15.32 13.68 29.00 Total 56.00 50.00 106.00 Based on the information given in these tables, calculate the chi-square statistic. (Provide your answer as a number rounded to two decimal places, e.g. 6.83).
You conduct a study to determine whether men and women have different colour preferences when buying a new car. In a questionnaire, you ask respondents to indicate their sex (male/female) and which of four possible colours they would choose when buying a new car. The table below shows the frequencies you observed: Male Female Total White 11 22 33 Male Female Total Blue 16 White 17.43 15.57 33.00 6 22 Red 10 12 22 The expected frequencies under the null hypothesis that there are no differences between men and women in colour preference are as follows: Blue 11.62 10.38 22.00 Green 19 10 29 Red 11.62 10.38 22.00 Total 56 50 106 Green 15.32 13.68 29.00 Total 56.00 50.00 106.00 Based on the information given in these tables, calculate the chi-square statistic. (Provide your answer as a number rounded to two decimal places, e.g. 6.83).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
The answer is 10,88.
How can I get there, using what formulas and calculations?
Transcribed Image Text:You conduct a study to determine whether men and women have different colour preferences when
buying a new car. In a questionnaire, you ask respondents to indicate their sex (male/female) and
which of four possible colours they would choose when buying a new car. The table below shows the
frequencies you observed:
Male
Female
Total
White
11
22
33
Male
Female
Total
White
17.43
Blue
16
6
22
15.57
33.00
The expected frequencies under the null hypothesis that there are no differences between men and
women in colour preference are as follows:
Red
10
12
22
Blue
11.62
10.38
22.00
Green
19
10
29
Red
11.62
10.38
22.00
Green
15.32
Total
56
50
106
13.68
29.00
Total
56.00
50.00
106.00
Based on the information given in these tables, calculate the chi-square statistic. (Provide your
answer as a number rounded to two decimal places, e.g. 6.83).
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