2. Principal Swenson believes Pre-Calculus Teacher A is more effective than Pre-Calculus Teacher B. An incoming class of 200 Pre-Calculus students are randomly assigned to two groups each size 100. One group is taught by Teacher A and one group is taught by Teacher B. At the end of the course, 60 of Teacher A's students and 44 of Teacher B's students pass the state exam. (a) Construct and interpret a 95% confidence interval for the difference in the proportion of students from Teacher A test and Teacher B who pass the state exam. ofam bris eleno) to haw prenib (b) Does the interval give convincing evidence that t. s a difference in the proportion of students from Teacher A and Teacher B who pass the state exam? Explain. Asill borebive gillenivans