An urban economist wonders if the distribution of U.S. residents in the U.S. is

Question

An urban economist wonders if the distribution of U.S. residents in the U.S. is different today than it was in 2000. In 2000, 19% of the population resided in the Northeast, 22.9% in the Midwest, 35.6% in the South, and 22.5% in the West. The economist randomly selects 1500 households in the United States and obtains the frequency distribution shown in the table below. She wants to do a Goodness of Fit test to determine if the distribution of residents is different today, i.e. she test the hypotheses; H_0: distribution of residents in the US is the same as it was in 2000 H_1: distribution of residents in the US is different than it was in 2000 What are the degrees of freedom and critical value for the test (use alpha = 0.05)? DF = 2; critical value = 5.991 DF = 4; critical value = 9.488 DF = 3; critical value = 7.815

Explanation / Answer

the for the given question the degrees of freedom and critical value at 5% are 3, 7.815 respectively.

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