Public view on evolution: A Pew Research report found that 31% of Americans reject evolution entirely, saying that humans and other living things have existed in their present form since the beginning of time. A biology professor is curious about whether this percentage is lower among students at his college. He randomly selects 150 students at his college and determines that 39 of them reject evolution entirely. In testing the hypotheses LaTeX: H_0H 0: LaTeX: p=0.31p = 0.31 versus LaTeX: H_aH a: LaTeX: p<0.31p < 0.31, he calculates the test statistic as LaTeX: Z=-1.32Z = − 1.32. Use the applet below to determine the P‐value. Assume the significance level is LaTeX: \alpha=0.05α = 0.05. Based on the P-value you find, determine which of the statements below the applet is an appropriate conclusion for the hypothesis test.

2.12 school absences. data collected at elementary schools in dekalb county, ga suggest that each year roughly 25% of students miss exactly one day of school, 15% miss 2 days, and 28% miss 3 or more days due to sickness.61 (a) what is the probability that a student chosen at random doesn’t miss any days of school due to sickness this year? (b) what is the probability that a student chosen at random misses no more than one day? (c) what is the probability that a student chosen at random misses at least one day? (d) if a parent has two kids at a dekalb county elementary school, what is the probability that neither kid will miss any school? note any assumption you must make to answer this question. (e) if a parent has two kids at a dekalb county elementary school, what is the probability that both kids will miss some school, i.e. at least one day? note any assumption you make.