Please reply to the following

Problem 18. (4 points) A magazine reported that 47% of Canadians are confident they will take a winter vacation at some point between December through March. To test the magazine's claim, a random sample of 65 Canadians is taken and 27 of them said they are confident they will take a winter vacation at some point between December through March. At 5% significance level do the sample data provide sufficient evidence to support that the actual percentage is smaller than what the magazine reported? A. What are the null and alternative hypotheses? (Type "mu" for the symbol , "xbar" for the symbol I, "p" for the symbol p, or "phat" for the symbol p, e.g. mu > 0.5 for the mean is greater than 0.5, xbar 2) = c. Given that Z is a Standard Normal Random Variable, calculate: P(-1.9 30 observations G. normally distributed residuals H. observations should come from a symmetric distribution 1. no extreme skew or outliers O J. dependent observations OK. linearity L. 10+ observed successes and failures OM. None of the above -2"C Search Sunny acer RProblem 13. (2 points) A 99% confidence interval for the mean / is calculated to be from 17.1 to 20.5 What is the margin of error? ME = If the confidence level were reduced to 90%, the margin of error would be larger O smaller the same not enough information Note: You can earn partial credit on this problem. -30 C Sunny O Search acer A S P