A large national bank determines if each of its branches is profitable or not profitable. Additionally, the location of each branch is classified as urban, suburban, or rural. A summary of the profitability and location type of a random sample of 175 of the bank's branches is shown in the table. a) From the sample of 175 branches summarized above:(i) What proportion of branches are profitable?(ii) What proportion of branches from an urban location are profitable?(iii) What proportion of branches from a rural location are profitable? (b) Assuming the conditions for inference are met, does the data provide convincing statistical evidence that profitability and location type are independent for the bank at a 5 percent level of significance? Complete the appropriate inference procedure to support your answer. *

	profitable	non profitable
urban	64	17
suburban	39	22
rural	18	15