I have a hypothesis "People are better at detecting a lie when they are able to see a persons expression, compared to people that are not". The results were that 3 out of 20 people detected a lie correctly from seeing a facial expression and 5 out of other 20 people correctly detected a lie from only hearing it.
I've done a chi-square test in R and it gave a p-value of 0.4292, which is higher than 0.05. This basically means, that i should accept the hypothesis. But how can I accept it if I clearly see that there were more people that detected a lie from hearing it rather than seeing a facial expression? In a logical way, my p-value should be less than 0.05, but its not. How do I explain it?