Fill in the contingency table based on the information below, and test for independence between lying and gender. State the hypothesis, compute the appropriate test statistic, degrees of freedom, p-value/critical value, and make a conclusion.
A large study selects 27000 humans to see if they lied or not and report their gender.
- 25% of humans were males who lied, and 33% were males who never lied.
- 27% of humans were females who lied and 15% were females who never lied.
Lied
Gender
Total
Male
Female
Yes - Observed
Expected
No - Observed
Expected
Total