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Write out the null and research hypothesis Report the χ² critical value for an alpha level of 0.05. Report χ² obtained/test stat and sig/p value from the output.

Write out the null and research hypothesis Report the χ² critical value for an alpha level of 0.05. Report χ² obtained/test stat and sig/p value from the output.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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  1. Conduct a Chi-square test between two appropriate variables of your choice to investigate an association. Obtain column %s, count and expected count in the crosstabs table.
  2. Describe what the table tells you about the association in 2-3 sentences, reporting some %s and comparing select observed/expected frequencies in various cells to describe the association.
  3. Write out the null and research hypothesis
  4. Report the χ² critical value for an alpha level of 0.05.
  5. Report χ² obtained/test stat and sig/p value from the output.
  6. What is your decision about the hypothesized association?
  7. Write out a conclusion about the association.
  8. Attach your output including the cross-tabulation table and the chi-square test.
$ 100,000 or more Count 73 28 101 Expected Count 67.0 34.0 101.0 % within Place of birth of 9.8% 7.4% 9.0% respondent- Canada Total Count 742 376 1118 Expected Count 742.0 376.0 1118.0 % within Place of birth of 100.0% 100.0% 100.0% respondent- Canada Chi-Square Tests Asymptotic Significance (2-sided) Value df Pearson Chi-Square 28.158 11 .003 Likelihood Ratio 28.135 11 .003 Linear-by-Linear Association 15.089 1 <.001 N of Valid Cases 1118 a. O cells (0.0%) have expected count less than 5. The minimum expected count is 13.12.
Transcribed Image Text:$ 100,000 or more Count 73 28 101 Expected Count 67.0 34.0 101.0 % within Place of birth of 9.8% 7.4% 9.0% respondent- Canada Total Count 742 376 1118 Expected Count 742.0 376.0 1118.0 % within Place of birth of 100.0% 100.0% 100.0% respondent- Canada Chi-Square Tests Asymptotic Significance (2-sided) Value df Pearson Chi-Square 28.158 11 .003 Likelihood Ratio 28.135 11 .003 Linear-by-Linear Association 15.089 1 <.001 N of Valid Cases 1118 a. O cells (0.0%) have expected count less than 5. The minimum expected count is 13.12.
Case Processing Summary Cases Valid Missing Total Percent Percent N Percent Annual personal income of the respondent - 2012 * Place of birth of 1118 74.5% 382 25.5% 1500 100.0% respondent - Canada Annual personal income of the respondent - 2012 * Place of birth of respondent - Canada Crosstabulation Place of birth of respondent - Canada Born in Born outside Canada Canada Total Annual personal income of the respondent- 2012 No income Count 53 51 104 Expected Count 69.0 35.0 104.0 % within Place of birth of respondent- Canada 7.1% 13.6% 9.3% Less than $ 5,000 Count 20 19 39 Expected Count 25.9 13.1 39.0 % within Place of birth of 2.7% 5.1% 3.5% respondent- Canada $ 5,000 to $ 9,999 Count 26 18 44 Expected Count 29.2 14.8 44.0 % within Place of birth of 3.5% 4.8% 3.9% respondent- Canada $ 10,000 to $ 14,999 Count 60 23 83 Expected Count 55.1 27.9 83.0 % within Place of birth of 8.1% 6.1% 7.4% respondent- Canada $ 15,000 to $ 19,999 Count 52 27 79 Expected Count 52.4 26.6 79.0 % within Place of birth of respondent- Canada 7.0% 7.2% 7.1% $ 20,000 to $29,999 Count 77 44 121 Expected Count 80.3 40.7 121.0 % within Place of birth of 10.4% 11.7% 10.8% respondent- Canada $ 30,000 to $ 39,999 Count 94 45 139 Expected Count 92.3 46.7 139.0 % within Place of birth of 12.7% 12.0% 12.4% respondent- Canada $ 40,000 to $ 49,999 Count 91 36 127 Expected Count 84.3 42.7 127.0 % within Place of birth of 12.3% 9.6% 11.4% respondent - Canada $ 50,000 to $ 59,999 Count 60 26 86 Expected Count 57.1 28.9 86.0 % within Place of birth of 8.1% 6.9% 7.7% respondent- Canada $ 60,000 to $ 79,999 Count 84 47 131 Expected Count 86.9 44.1 131.0 % within Place of birth of 11.3% 12.5% 11.7% respondent- Canada $ 80,000 to $ 99,999 Count 52 12 64 Expected Count 42.5 21.5 64.0 % within Place of birth of 7.0% 3.2% 5.7% respondent - Canada
Transcribed Image Text:Case Processing Summary Cases Valid Missing Total Percent Percent N Percent Annual personal income of the respondent - 2012 * Place of birth of 1118 74.5% 382 25.5% 1500 100.0% respondent - Canada Annual personal income of the respondent - 2012 * Place of birth of respondent - Canada Crosstabulation Place of birth of respondent - Canada Born in Born outside Canada Canada Total Annual personal income of the respondent- 2012 No income Count 53 51 104 Expected Count 69.0 35.0 104.0 % within Place of birth of respondent- Canada 7.1% 13.6% 9.3% Less than $ 5,000 Count 20 19 39 Expected Count 25.9 13.1 39.0 % within Place of birth of 2.7% 5.1% 3.5% respondent- Canada $ 5,000 to $ 9,999 Count 26 18 44 Expected Count 29.2 14.8 44.0 % within Place of birth of 3.5% 4.8% 3.9% respondent- Canada $ 10,000 to $ 14,999 Count 60 23 83 Expected Count 55.1 27.9 83.0 % within Place of birth of 8.1% 6.1% 7.4% respondent- Canada $ 15,000 to $ 19,999 Count 52 27 79 Expected Count 52.4 26.6 79.0 % within Place of birth of respondent- Canada 7.0% 7.2% 7.1% $ 20,000 to $29,999 Count 77 44 121 Expected Count 80.3 40.7 121.0 % within Place of birth of 10.4% 11.7% 10.8% respondent- Canada $ 30,000 to $ 39,999 Count 94 45 139 Expected Count 92.3 46.7 139.0 % within Place of birth of 12.7% 12.0% 12.4% respondent- Canada $ 40,000 to $ 49,999 Count 91 36 127 Expected Count 84.3 42.7 127.0 % within Place of birth of 12.3% 9.6% 11.4% respondent - Canada $ 50,000 to $ 59,999 Count 60 26 86 Expected Count 57.1 28.9 86.0 % within Place of birth of 8.1% 6.9% 7.7% respondent- Canada $ 60,000 to $ 79,999 Count 84 47 131 Expected Count 86.9 44.1 131.0 % within Place of birth of 11.3% 12.5% 11.7% respondent- Canada $ 80,000 to $ 99,999 Count 52 12 64 Expected Count 42.5 21.5 64.0 % within Place of birth of 7.0% 3.2% 5.7% respondent - Canada
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