what would you respond to these real-life situations?

- A real-life situation where we might be interested in testing for a difference between two means is in a study that compares the effectiveness of two different treatments for a particular medical condition. For example, suppose we are interested in testing whether a new drug is more effective in reducing blood pressure than an existing drug. The null hypothesis (H0) would be that there is no significant difference in the mean reduction of blood pressure between the two drugs, while the alternative hypothesis (H1) would be that the mean reduction in blood pressure is different between the two drugs. This could be tested by conducting a randomized controlled trial in which patients are randomly assigned to receive either the new drug or the existing drug, and their blood pressure levels are measured before and after treatment. Source: Mann, H.B. & Whitney, D.R. (1947). On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other. The Annals of Mathematical Statistics, 18(1), 50-60.

- I really like this weeks topic because these hypothesis analyses are intriguing to think about! The real-life situation that popped into my mind was the comparison of how many convicted individuals reoffend. After a further search, I narrowed down my search to being how many convicted felons reoffend after paroling. After thinking about it, I wondered if there was a solid way to analyze this. After looking into studies, it seems most are tailored to specific time frames and certain areas. I chose to look at one of these studies to help grow this understanding. Typically, the goal is to cancel out the null, but I found myself hoping for it before I looked into the studies results. In this case, the null hypothesis would be that there is little to no recidivism after reaching parole. The alternative would then be a greater amount of reoffending after parole. Interestingly enough, the results concluded that 71% of those released in a time frame reoffended within 5 years of release (Durose, 2021.) These details go on, but I found this very interesting! Matthew R. Durose. (2021, July 29). Recidivism of prisoners released in 34 states in 2012: A 5-year follow-up period (2012-2017). Bureau of Justice Statistics. Retrieved February 21, 2023, from https://bjs.ojp.gov/library/publications/recidivism-prisoners-released-34-states-2012-5-year-follow-period-2012-2017