Question

In: Statistics and Probability

A political scientist is interested in the question of whether or not there is a difference...

  1. 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.

                                        

  1. State the null and alternative hypotheses (1 pt).
  1. Write what a Type I error would be in the context of this problem (1 pt).
  1. Write what a Type II error would be in the context of this problem (1 pt).
  1. Write what Power is in context of this problem (1 pt).

e. Compute the effect size (Cohen’s d) (1 pt).

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