In: Statistics and Probability
Essential Statistics for the Behavioral Sciences. Second Edition Chapter 9, #20: A study evaluating the effects of parenting style (authoritative, permissive) on child well-being observed 20 children (10 from parents who us an authoritative parenting style and 10 from parents who use a permissive parenting style). Children between the ages of 12 and 14 completed a standard child health questionnaire where scores can range between 0 and 100, with higher scores indicating greater well-being. The scores are given in the table. Authoritative Parenting Style: 60, 65, 70, 65, 80, 50, 75, 55, 60, and 70. Permissive Parenting Style: 80, 75, 55, 85, 90, 65, 70, 65, 70, and 80. [a] Test whether or not child health scores differ between groups using a 0.05 level of significance. State the value of the test statistic and the decision to retain or reject the null hypothesis. [b] Compute effect size using estimated Cohen's d.