From a july 2019 survey of 1186 randomly selected americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week.
a) calculate the sample proportion of americans ages 18-29 who vaped in the past week. round this value to four decimal places.
b) write one sentence each to check the three conditions of the central limit theorem. show your work for the mathematical check needed to show a large sample size was taken.