Question

The student body at St. Algebra College attends an average of 3.3 parties per month. A random sample of 35 sociology majors averages 3.8 parties per month with a standard deviation of 0.53.

a) Test the hypothesis that sociology majors have significantly more fun. Use α=.01 level.

            b) Calculate the ES (effect size) and indicate if it is strong, moderate, or weak.

Answer 1

a)

null hypothesis: Alternate Hypothesis: 3.3 3.3 for 0.01 level with right tailed test and n-1- 34 degree of freedom, critical value of t 2.441 Decision rule: reject Ho if test statistic t>2.441 population 3.3 mean sample mean 3.80 X= sample size 35.00 n= sample std deviation 0.53 S= S s/Vn= standard errror of mean = 0.090 (X-H)/s test statistic t 5.58

as test statistic falls in rejection region. we reject null hypothesis and conclude that sociology majors have significantly more fun

b)

effect size =(3.8-3.3)/0.53 =0.94

as it is greater than 0.8 ; therefore it is strong effect size