You plan to examine the association between high cholesterol levels and veg intake. One group contains individuals with healthy cholesterol levels, while the other group is composed of individuals with hypercholesterolemia. Subjects will be asked how many servings of veg they ate on an average day in the past week. People who ate at least 3 servings a day are classified as sufficient intake, and those who ate 2 or less per day as have insufficient intake. You need compare the proportion of participants in each group who have adequate veg intake. You compare groups using a two-sided test of two proportions. You hypothesize that 5% of people in the high cholesterol group will have sufficient veg intake, while 15% of those in the healthy cholesterol group will have sufficient veg consumption. If you plan to enroll 100 total people (50 per group), what power do you have to detect a significant difference at an alpha level of 0.05? Would power increase or decrease if the proportions were 15% and 25%? How many total participants would be required to reach 80% power