I've done 2-sample test for equality of proportions with continuity correction. (This is the second course of statistic I'm studying so I know basically nothing, at least so it feels.)
R and Rstudio for the first time in this course. I have no idea how to interpret the results of this test.
y1 <- 52 n1 <- 89 y2 <- 40 n2 <- 91 prop.test(c(y1,y2), c(n1,n2), alternative = "greater", conf.level=0.99) 2-sample test for equality of proportions with continuity correction data: c(y1, y2) out of c(n1, n2) X-squared = 3.2138, df = 1, p-value = 0.03651 alternative hypothesis: greater 99 percent confidence interval: -0.03792798 1.00000000 sample estimates: prop 1 prop 2 0.5842697 0.4395604
So p-value is 0.03651. What do I compare it with? And what are the conclusions? Do I reject or retain the null hypothesis? I know pretty much nothing, so please keep it simple.