I'm doing a study on about 2000+ participants, and would like to test for normality of some continuous variables (I know from the histogram my age distribution is bimodal). I applied the Lilliefors test in R and got a p-value of <0.0001, but I'm rather confused about how to interpret this - this link suggests a low p-value confirms normality https://towardsdatascience.com/6-wa...al-distribution-which-one-to-use-9dcf47d8fa93 but everywhere else I read, a low p-value confirms

*non*-normality. I wonder if the author got it wrong.

Thanks!