Hypertension, or high blood pressure, is a serious condition that can lead to many different types of health problems. According to the National Heart, Lung, and Blood Institute, about $1$-in-$3$ American adults suffer from this condition. Some studies suggest there is a link between stress and hypertension. Other studies suggest that men are more likely to suffer from hypertension than women.
Historically, however, men have often held more high-stress jobs than women. Times have been changing though, and many women now hold the same types of high-stress jobs as men. Do men and women in these types of high-stress jobs suffer from hypertension at the same rates?
Heidi decides to do a study. She randomly selects the health records of $104$ women in high-stress jobs and finds that $25\%$ of them suffer from hypertension. She also randomly selects the health records of $150$ men in high-stress jobs and finds that $36\%$ of them suffer from hypertension. It is reasonable to consider her samples to be independent.
Does this provide evidence at the $\alpha = 0.05$ level that the rates of hypertension are not the same in men and women with high-stress jobs?