5. A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let p denote the proportion in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. (a) If p is the proportion of the sample who support the increase, what is the mean of the sampling distribution of p ? (b) What is the standard deviation of the sampling distribution of p ? Time o Vi (c) Explain why you can use the formula for the standard deviation of p in this setting. (d) Check that you can use the Normal approximation for the distribution of p