Question

A polling company finds that 60% of Democrats give a ‘favorable’ rating for a senator and 52% of Republicans give a ‘favorable’ rating for the same senator. What should the company use if they want to know if this is a ‘statistically significant’ finding?

a. Independent two sample t-testb. Two proportions z-testc. One sample t-testd. Matched pairs t-test

Answer 1

a) Independent 2 sample t-test

Explanation:

The main purpose of a t-test is to determine if there is a significant difference between the means of two groups. The company should use the independent 2 sample test, because this one tests whether the difference between the means of two independent populations is equal to a target value.

In this case, it will test the difference between the favorable ratings for a senator poll, comparing the opinnion of two independent groups, which are Democrats and Republicans.