Hypothetical data (observed frequencies, fo) are provided below on relationship between gender and fear of walking at night in their neighbor-hood (FEAR) based on GSS 2018 dat.
Afraid to Walk at Night |
Men |
Women |
Row Total |
Yes |
77 |
175 |
252 |
No |
270 |
259 |
529 |
Column Total |
347 |
434 |
781 |
6. Calculate the expected frequencies (fe) – that is, the frequencies we would expect to observe if there were no relationship between sex and marital satisfaction (8 pts).
Afraid to Walk at Night |
Men |
Women |
Row Total |
Yes |
252 |
||
No |
529 |
||
Column Total |
347 |
434 |
781 |
7. Calculate the number of degrees of freedom associated with the chi-square test for these data (3 pts).
8. Calculate the chi-square values (15 pts)
Cell (X,Y) |
fo |
fe |
(fo-fe) |
(fo-fe)2 |
[(fo-fe) 2 / fe] |
Men/Yes |
77 |
||||
Men/No |
270 |
||||
Women/Yes |
175 |
||||
Women/No |
259 |
||||
Χ2=_______________ |
9. Suppose you obtain a chi-square statistic of 29.01. Are your results statistically significant if the critical value obtained from the distribution of chi-square is 3.841 with an alpha level of .05 using Appendix D on page 380 (5 pts)?
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