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)Interpret the confidencelevel.

(b) Name two changes the counselors could make to reduce the margin of error.

(c)Describe how untruthful answers might lead to bias in this survey. Does the stated margin of error account for this possible bias?