A researcher wants to know if being reminded of the existence of a stereotype can influence one's performance on cognitive tests related to the stereotype. She randomly assigned 100 undergraduate women to the experimental group. They are told women tend to be worse at math than men. She randomly assigns another 100 undergraduate women to the control group. She tells them nothing. All 200 undergraduate women then take a math exam. The researcher compares the scores on the exam from the experimental group to those of the control group. The experimental groups' exam scores are significantly worse than the control groups

1. What is the null hypothesis? (Assume a one-tailed null)
2. What is the alternative hypothesis? (Assume a one-tailed alternative)
3. Should we fail to reject the null hypothesis OR reject the null hypothesis?