[Steps Shown] In the study of depressive symptoms among college students, the sample of 182 students was made up of 83 women and 99 men. 40 of the women and
Question: In the study of depressive symptoms among college students, the sample of 182 students was made up of 83 women and 99 men. 40 of the women and 39 of the men had ever experienced depressive symptoms.
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(4 pts) Fill in the table below with the appropriate counts.
Experienced Depressive Symptoms Yes No Total Females Males Total - (8 pts) Perform a chi-square test to assess whether the proportion of female college students who have had depressive symptoms is significantly different from the proportion of male college students. You must write out all steps of the test (calculations may be done using Stata) and write a sentence summarizing the result of the test.
- (5 pts) Calculate the risk difference comparing the risk of ever having had depressive symptoms for women compared to men and interpret this quantity.
- (8 pts) Construct a 95% confidence interval for the risk difference you calculated in (c).
- (5 pts) Calculate the relative risk for ever having had depressive symptoms for women compared to men and interpret this quantity.
- (8 pts) Construct a 95% confidence interval for the relative risk you calculated in (e).
- (5 pts) Calculate the odds ratio for ever having had depressive symptoms for women compared to men and interpret this quantity.
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(8 pts) Construct a 95% confidence interval for the odds ratio you calculated in (g).
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(6 BONUS pts)What value of the odds ratio from part (e) would correspond to
no association
between depressive symptoms and sex? Is this value contained in the 95% confidence interval you calculated in part (f)? How this value being/not being in the CI relate to the result of the chi-square test you did in part (a)?
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(6 BONUS pts)What value of the odds ratio from part (e) would correspond to
no association
between depressive symptoms and sex? Is this value contained in the 95% confidence interval you calculated in part (f)? How this value being/not being in the CI relate to the result of the chi-square test you did in part (a)?