Problem 8.38Quality Progress. February 2005 reports on the results achieved byBank of America in improving customer satisfaction and customerloyalty by listening to the voice of the customer. A key measureof customer satisfaction is the response on a scale from 1 to 10 tothe question: Considering all the business you do with Bank ofAmerica what is your overall satisfaction with Bank of America?Suppose that a random sample of 350 current customers results in195 customers with a response of 9 or 10 representing customerdelight. Find a 95 percent confidence interval for the trueproportion of all current Bank of America customers who wouldrespond with a 9 or 10. Are we 95 percent confident that thisproportion exceeds .48 the historical proportion of customerdelight for Bank of America?