A study is performed involving two methods for removing harmful bacteria in 350 lakes in Florida. The lakes were treated randomly using one of two methods. Specifically, 150 were treated using Method A and 200 were treated using Method B. A total of 250 of the 350 lakes were bacteria-free after treatment, 95 from the Method A group and 155 from the Method B group. A significance test was performed for the following hypotheses and resulted in a p-value of 0.0018:
H0: Bacteria removal rates are the same for Method A and B
Ha: Method B has a higher bacteria removal rate
Part A: Interpret the p-value in terms of the context. (3 points)
Part B: Using a significance level of ? = 0.05, what can you conclude from the context of this study? (4 points)
Part C: Based on your conclusion in part B, which type of error—Type I or Type II—could have been made? What is one potential consequence of this error? (3 points)