A survey in Mens health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is true, a researcher randomly selected 100 cardiologists and found that 36 said they take vitamin E supplements. At alpha = 0.05, test the claim that 39% of the cardiologists took vitamin E supplements. What parameter are you testing (mean, proportion, variance)? Is this a one tail or two tail test? State the null and alternative hypothesis. Draw the curve and identify your critical values. Convert your sample statistic into a test statistic and plot it on your curve. Do you accept or reject the null hypothesis? Is there a chance for a type I or type II error?.