According to previous studies, 10% 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 12%. The student is going to take a random sample of 900 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. 0.12 (b) Find the standard deviation of p. 0 D (c) Compute an approximation for P(p≤0.12), which is the probability that there will be 12% or fewer left-handed people in the sample. Round your answer to four decimal places. Π 5

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