In: Statistics and Probability
A political scientist is interested in the question of whether
or not there is a difference...
- A political scientist is interested in the question of whether
or not there is a difference between Republicans and Democrats when
it comes to their involvement in voluntary associations. Using a
25-point scale to measure involvement in voluntary associations,
and collecting information from a random sample of 17 Republicans
and 12 Democrats, the political scientist discovers the
following:
Republicans: Mean of 12.56, standard
deviation of 3.77
Democrats: Mean of 16.43, standard
deviation of 4.21
Test the null hypothesis at the .05 level of significance.
- State the null and alternative hypotheses (1 pt).
- Write what a Type I error would be in the context of this
problem (1 pt).
- Write what a Type II error would be in the context of this
problem (1 pt).
- Write what Power is in context of this problem (1 pt).
e. Compute the effect size (Cohen’s d) (1 pt).