Many types of error will cause a computer program to terminate O give incorrect results. One type of error is punctuation. For instance, if a comma is inserted in the wrong place; the program might not run. A study of programs written by students in an introductory programming course showed that 75 out of 300 errors selected at random were punctuation errors. (a) Find 99% confidence interval for the proportion of errors made by beginning programming students that are punctuation errors. Interpret the results in a clear sentence_ (b) Find a 95% confidence interval. Is this interval longer or shorter? Find the margin of erTror for each confidence interval. (Hint: You do have enough information from the calculator output!) Compare the margin of error from part (b) with the quick method we learned early in the semester: Is it the same? Why O why not