Using a random sample of 310 Michiganders researchers estimate that 42% support the proposed income tax increase. 1. a) find the standard error for this proportion. (3 points) 1. b) construct a 99% confidence interval for this proportion. (2 points) 1. c) Can you be 99% certain that less than 50% of Michiganders favor of this plan, why or why not. (5 points)