I was reading the following tutorial for testing proportions in two populations. After running
prop.test(x=c(342,290), n=c(400,400))
I received a p-value of 9.558674e-06, which the tutorial says is greater than the alpha level of .05. I assumed this was a typo, and was just comparing the p-value to its value in decimal notation, 0.000009558674, but received "False". I even turned off scientific notation using
options(scipen=999)
and when printing out the p-value from the object returned by prop.test, I still receive "False" when comparing the p-value to 0.000009558674 for equality, it recognizes the p-value as lesser than. Why is this the case?
You may want to consider using the all.equal()
function. The tolerance between the values can be set with the tolerance
argument.
isTRUE(all.equal(2, 2.00000001))
## [1] TRUE
isTRUE(all.equal(2, 2.00000001, tolerance = 0.0000000001))
## [1] FALSE