Weight loss program suppose that a weight loss company advertises that people using its pro- gram lose an average of 8 pounds the first month and that the federal trade commission (the main government agency responsible for truth in adver- tising) is gathering evidence to see if this advertising claim is accurate. if the ftc finds evidence that the average is less than 8 pounds, the agency will file a lawsuit against the company for false advertising. (a) what are the null and alternative hypotheses the ftc should use? (b) suppose that the ftc gathers information from a very large random sample of patrons and finds first with a that the average weight loss during month in the program is x 7.9 pounds pounds itn p-value for this result of 0.006. what is the con clusion of the test? are the results statistica significant? (c) do you think the results of the test are practi- cally significant? in other words, do you think patrons of the weight loss program will care that the average is 7.9 pounds lost rather than 8.0 pounds lost? discuss the difference between practical significance and statistical significance in this context.