1) A large consumer blog polls tablet to see if they are happy with their tablets and would purchase the same model again. They randomly selected tablet users and found the following: 314 of 440 owners of iPads would purchase their tablet again, and 419 of 540 owners of Surfaces would purchase the same tablet again. a) Find a 95% confidence interval (Two-Proportion z-Interval) for the difference in the proportions (2 points - 1 point work, 1 point interval). b) Interpret your interval in the context of the problem. What does the confidence interval say about the difference in the satisfaction of the two types of owners? Hint: pay attention to the signs on the LB & UB (2 points). c) Conduct a hypothesis test with an alpha-level of 0.05 to determine if there is strong evidence that owners of Surfaces are happier with their purchase than owners of iPads. Be sure to give the name of the test that you are performing (4 points - 1 point hypothesis, 2 points work, 1 point conclusion). d) What type of error could have occurred, Type I or Type II (2 points - 1 point answer, 1 point reasoning)?