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 reported being homeless):

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). Here is Minitab output from a chi-square test.

Chi-Square Test: Female, Male

Expected counts are printed below observed counts

Chi-Square contributions are printed below expected counts

c. Check that the conditions for carrying out the test are met.

d. Interpret the P-value. What conclusion would you draw?

Transcribed Image Text:

Gender Living Female Male Total location Parents home 923 986 1909 Another 144 132 276 person's home Own place 1294 1129 2423 Group quarters 127 119 246 Total 2488 2366 4854