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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).

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
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The answer is 10,88.

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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).
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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