Control group had 2/200 people quit their jobs. Experimental group had 3/90 people quit their jobs. My gut tells me that this result not statistically-significant, but how can I show it using a statistical test?
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2Welcome to Cross Validated! You want to compare two proportions, right? What methods have you learned for doing so? – Dave Oct 31 '22 at 22:12
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You can use the Fisher exact test, obtaining
fisher.test(matrix(c(2,198,3,87),2,2))
Fisher's Exact Test for Count Data
data: matrix(c(2, 198, 3, 87), 2, 2)
p-value = 0.1752
alternative hypothesis: true odds ratio is not equal to 1
95 percent confidence interval:
0.02415544 2.61654673
sample estimates:
odds ratio
0.2943426
Some will object to this because they say the marginals are not fixed (only one of them is), but we can condition on the marginals, which by itself gives no information on possible dependence. For the discussion see What does the assumption of the Fisher test that "The row and column totals should be fixed" mean?
kjetil b halvorsen
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