. USA Today reported that about 47% of the general consumerpopulation in the United States is loyal to the automobilemanufacturer of their choice. Suppose that Chevrolet did a study ofa random sample of 1006 Chevrolet owners and found that 490 statedthat they would buy another Chevrolet. Test the claim by Chevroletthat the population proportion of consumers loyal to its product isdifferent from 47%. Use = 0.05. (a) State the hypotheses for thistest. (b) State the p-value for this test. (c) State yourconclusion for the test in the context of the problem statement.(d) Give a 95% confidence interval for the proportion of customersloyal to Chevrolet. (e) Is your confidence interval consistent withyour conclusion from the hypothesis test? Explain why or whynot.
