Question

Questions 6, 7, and 8 refer to the following scenario regarding a 2-way chi-squared test of statistical independence A city is facing a resolution with two options: Pro and Con. A political analyst polled 300 citizens and asked them two questions: 1. which of the country's two major political parties (the Freedom Party or the Security Party) they identified with and 2. whether or not they supported the pro side or the con side of the resolution. Here is a table of the results: Preference Pro Totals Freedom Party 60 100 Political Party Security Party 140 Totals 200

Answer 1

Let m denote the number of options of preference for the resolution. We have 2 options, hence m = 2.

Let n denote the number of political parties, we have n = 2

Now, to carry out the chi-square test for testing independence of preference and political party, we calculate the degrees of freedom of our chi-square test statistic as (m - 1)(n - 1).

Hence degrees of freedom = 1