Each year, the high school guidance counselors conduct a survey to estimate the proportion of students at the school who cheat on their homework. Based on a random sample of 300 students from the high school, a 99% confidence interval for the proportion of all students at the high school who cheat on their homework is 0.052 to 0.192. (a)To reduce the margin of error should the counselor obtain a larger or smaller sample of students?
(b) To reduce the margin of error should the counselor lower or increase the level of confidence