Suppose second team of researchers in 2009 believed that the rate of encounters in which the whale comes within 3,281 feet of the bow in the lower bay sub-region of Glacier Bay was higher than 20%. This team observed a sample of 85 encounters between cruise ships and whales in the lower bay; the whale came within 3,281 feet of the bow in 25 of these encounters. p = 0.20, is it valid to use the normal distribution to approximate the sampling distribution of p-hat, the sample proportion of encounters where the whale came within 3,281 feet of the bow? Justify your answer using mathematical calculations