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)a)

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 3.3
Alternative Hypothesis, Ha: μ > 3.3

Rejection Region
This is right tailed test, for α = 0.01 and df = 34
Critical value of t is 2.441.
Hence reject H0 if t > 2.441

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (3.8 - 3.3)/(0.5/sqrt(35))
t = 5.916

P-value Approach
P-value = 0
As P-value < 0.01, reject the null hypothesis.

b)

Effect size = (xbar - mu)/s
= ( 3.8 - 3.3)/0.5
= 1

It is strong