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(3) (15 points) The following is R output from a hypothesis test comparing two population proportionq 331, p2. > prop.test{x:c(31,22) ,n:c(50,50) ,alternative = \"two.sided") 2-5ample test for equality of proportions with continuity correction data: C(31, 22) out of C(SO, 50) Xsq'uared = 2.5692, df = 1r pvalue = 0.109 alternative hypothesis: two.sided 95 percent confidence interval: 70.03243613 0.39243613 sample estimates: prop 1 prop 2 0.62 0.44 (a) What are the null and alternative hypotheses? State them in terms of 131, p2. (b) What do you conclude? Why? (c) What does the condence interval tell you