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 95% confidence interval for the proportiom of all students at the high school who cheat on their homework is 0.052 to 0.192.

a.Interpret the confidence level.

b.Explain what would happen to the length of the interval were increased to 99%.

c.Explain what would happen to the length of the original interval if the sample size were increased to 350 students.