1. Is the statement below a null or alternative hypothesis statement? Is the mean age of a Penn State University Park first semester student different from 18? Null hypothesis C Alternative hypothesis 2. Data concerning age (in years) were collected from a sample of 548 online STAT 200 students during a summer semester. We want to know if the average age in this population is different from 25 years: Ho: H =25 Ha: H #25 Summary Statistics Variable N Mean StDev SE Mean Age 548 24.68 7.571 0.323 Use the information in the descriptive statistics table above to compute the t test statistic. Round your final answer to three decimal places. 3. You want to compare the proportion of STAT 100 students who have taken AP Calculus to the proportion of STAT 200 students who have taken AP Calculus using the following hypotheses: Ho:p1=p2HO:p1=p2 Ha:p1#p2Ha:p1=p2 There were only 3 students in your STAT 100 sample who had taken AP Calculus. Which of the follow methods would be appropriate to use in this case? C Normal approximation method Randomization test