Suppose in a random sample of 800 students from the University of X, 52% said that they plan to watch the Super Bowl. The 95% confidence interva has a margin of error of 3.5% points. Does the confidence interval support the claim that the majority of students the University of X plan to watch the Super Bowl? Why? O No; the confidence interval means that we are 95% confident that the population proportion of students at the University of X who plan to watch the Super Bowl is between 52% and 55.5%. The lower limit of the confidence interval is just too close to 50% to say for sure. O No; the confidence interval means that we are 95% confident that the population proportion of students at the University of X who plan to watch the Super Bowl is between 48.5% and 55.5%. The true proportion could be less than 50%. O Yes; the confidence interval means that we are 95% confident that the population proportion of students at the University of X who plan to watch the Super Bowl is between 52% and 55.5%. This is strong evidence that the true proportion is greater than 50%. O Yes; the confidence interval means that we are 95% confident that the population proportion of students at the University of X who plan to watch the Super Bowl is between 48.5% and 55.5%. Since the confidence interval is mostly above 50% it is likely that the true proportion is greater than 50%