- Caselet 2 Previous Studies Suggest That Female Teens Are More Likely Than Male Teens To Be Depressed Suppose We Rando 1 (41.01 KiB) Viewed 14 times
- Caselet 2 Previous Studies Suggest That Female Teens Are More Likely Than Male Teens To Be Depressed Suppose We Rando 2 (35.75 KiB) Viewed 14 times
Caselet # 2 Previous studies suggest that female teens are more likely than male teens to be depressed. Suppose we randomly select 100 female teens and determine that 14 are clinically depressed. Among 200 randomly selected male teens, 16 are clinically depressed. Test the hypotheses at a 5% significance level. What test should be used in the case analysis? Two-sample Test Hypothesis Testing (t-test for Mean) Two-sample Test Hypothesis Testing (Z-test for Population Proportion) Two-sample Test Hypothesis Testing (2-test for Mean) None of the choices What is the alternative hypothesis statement? The depression rate of female teens is greater than the depression rate of male teens. The depression rate of female teens is less than or equal to the depression rate of male teens. The depression rate of male teens is equal to the depression rate of female teens. The depression rate of female teens is not equal to the depression rate of male teens What is the critical value? 1.645 2.580 1.960 1.282 What is the standard test statistic? 2.580 1.633 2.850
What is the decision? Reject Ho Do not Reject Ho What does the decision imply? There is sufficient evidence at 95% level of confidence that the depression rate of female teens is greater than the male teens. There is no sufficient evidence at 95% level of confidence that the depression rate of female teens is not equal to male teens. There is no sufficient evidence at 95% level of confidence that the depression rate of female teens is greater than the male teens.