An economist wishes to test the claim that the distribution

An economist wishes to test the claim that the distribution of US residents in the United States is different today from it was in 2010. She obtained the data for 2010 from the Census Bureau; 22.5% of the residents resided in the West; 35.6% resided in the South; 22.9% resided in the Midwest and 19% resided in the Northeast. The economist randomly selects 1000 households in the United States and obtains the following frequency distribution for 2014.

a. (2 pts) Complete the table above by finding the expected frequencies.
Then answer the following parts to perform a test for goodness of fit to see if the distribution of residents in the United States is different today than it was in 2010 at the 0.05 significance level. Show your work or calculator command.
b. (2 pts) State the null and alternate hypotheses.
H0: _____________________________________________________________________
H1: _____________________________________________________________________
c. (3 pts) Find the test statistic and critical value of the test. Give your answer using the correct symbol.
d. (3 pts) Find the p-value.
_________________________________________________________________________
e. (2 pts) State the decision of the test.
__________________________________________________________________________
f. (3 pts) Interpret your decision in the context of the problem.

Solution