Question

In 2008 the Pew Research Center interviewed a random sample of 5,566 registered voters and found that 36% were Democrats, 27% Republicans, and 37% Independents.

Let’s assume that this was the actual distribution for political party affiliation for all registered voters in 2008.

We can use a chi-square goodness-of-fit test to answer which of one the following research questions?

a. Is the proportion of Democrats larger than the proportion of Republicans this year?

b. Is the percentage of registered voters that are Independent higher now than the 37% reported in 2008?

c. Is the distribution of political party affiliation for all registered voters in 2012 the same as stated for 2008?

Answer 1

Explanation:

Hello!

The objective of a Chi-square Goodness of fit test is to probe if a categorical variable follows a hypothetical distribution. In other words, you test if the observed frequencies for each category have the same distribution as the theoretical or expected model for these categories.

With this in mind, the correct answer is c. Is the distribution of political party affiliation for all registered voters in 2012 the same as stated for 2008.

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