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Where do young adults live? A survey by the National Institutes of Health asked a random
Chapter 11, Problem 47(choose chapter or problem)
Where do young adults live? A survey by the National Institutes of Health asked a random sample of young adults (aged 19 to 25 years), Where do you live now? That is, where do you stay most often? Here is the full two-way table (omitting a few who refused to answer and one who claimed to be homeless):25 Female Male Parents home 923 986 Another persons home 144 132 Own place 1294 1129 Group quarters 127 119 (a) Should we use a chi-square test for homogeneity or a chi-square test for independence in this setting? Justify your answer. (b) State appropriate hypotheses for performing the type of test you chose in part (a). Minitab output from a chi-square test is shown below. Chi-Square Test: Female, Male Expected counts are printed below observed counts Chi-Square contributions are printed below expected counts Female Male Total 1 923 986 1909 978.49 930.51 3.147 3.309 2 144 132 276 141.47 134.53 0.045 0.048 3 1294 1129 2423 1241.95 1181.05 2.181 2.294 4 127 119 246 126.09 119.91 0.007 0.007 Total 2488 2366 4854 Chi-Sq = 11.038, DF = 3, P-Value = 0.012 (c) Check that the conditions for carrying out the test are met. (d) Interpret the P-value in context. What conclusion would you draw?
Questions & Answers
QUESTION:
Where do young adults live? A survey by the National Institutes of Health asked a random sample of young adults (aged 19 to 25 years), Where do you live now? That is, where do you stay most often? Here is the full two-way table (omitting a few who refused to answer and one who claimed to be homeless):25 Female Male Parents home 923 986 Another persons home 144 132 Own place 1294 1129 Group quarters 127 119 (a) Should we use a chi-square test for homogeneity or a chi-square test for independence in this setting? Justify your answer. (b) State appropriate hypotheses for performing the type of test you chose in part (a). Minitab output from a chi-square test is shown below. Chi-Square Test: Female, Male Expected counts are printed below observed counts Chi-Square contributions are printed below expected counts Female Male Total 1 923 986 1909 978.49 930.51 3.147 3.309 2 144 132 276 141.47 134.53 0.045 0.048 3 1294 1129 2423 1241.95 1181.05 2.181 2.294 4 127 119 246 126.09 119.91 0.007 0.007 Total 2488 2366 4854 Chi-Sq = 11.038, DF = 3, P-Value = 0.012 (c) Check that the conditions for carrying out the test are met. (d) Interpret the P-value in context. What conclusion would you draw?
ANSWER:Step 1 of 4
(a)
If there were two samples, then we should have used the chi-square test for homogeneity.
Chi-square test of association/independence