Office occupancy in a city is an indication of the economic health of the region in which it is located. Suppose a random sample of offices in Boston and Chicago was selected and the number of vacancies was recorded. Round all answers to four decimal places.

City Vacant Not Vacant Total

Boston 25 138 163

Chicago 15 122 137

Total 40 260 300

a. What are the hypotheses for testing whether there is a significant difference?

b. Calculate the difference in vacancy rates for these two cities: p^Boston- p^Chicago

c. Choosing the "beyond" option for the counted samples and shuffling at least 3000 times, what is the approximate p-value for the hypothesis test, rounded to three decimal places?