A humane society claims that less than 35%of U.S. households own a dog. In a random sample of 404U.S. households,153say they own a dog. At alphaequals0.03,is there enough evidence to support the society's claim?(a) Write the claim mathematically and identify Upper H 0and Upper H Subscript a. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.