According to previous studies, 12% of the U.S. population is -left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S, is 14%. The student is going to take a random sample of 1650 people in the U.S. to toy to gather evidence to support the daim, Let p^ be the proportion of ieft-handed people in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p^. (b) Find the standard deviation of p^. (c) Compute an approximation for P(p^0.14), which is the probability that there will be 14% or fower left-handed people in the sample. Round your answer to four decimal places