4. A stylist at the Hair Care Palace gathered data on the number of hair colourings given on Saturdays and on weekdays. Her results are listed below. Assume the two random samples were independently taken from normal populations. Saturday: Pi; = 50 and I; =14 Weekday: "2 =65 and X, =13 a} (2 marks) Find the point estimate of p1 p2. b} (4 marks) Find a margin of error with probability .95. c} (5 marks) Find a 98% condence interval for p[ pg. (1} (2 marks) Make an interpretation of the condence interval in c)