I need the answers please

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. (a) Calculate the mean and standard deviation of the sampling distribution of p . Interpret the standard deviation. (3 pts) (b) Justify that the sampling distribution of p is approximately normal. (1 pt) (c) Calculate the probability that at least 44% of the people in the sample attended church. (2 pts) (d) If 44% of the people sampled were found to attend church, would this be convincing evidence that the newspaper was incorrect? (1 pt)