A pharmaceutical company claims that a new drug reduces bloo…
A pharmaceutical company claims that a new drug reduces blood pressure more effectively than the standard drug. A clinical trial is conducted, and a hypothesis test is set up as follows:· Null Hypothesis (H₀): The new drug is no more effective than the standard drug (mean reduction ≤ 0).· Alternative Hypothesis (H₁): The new drug is more effective than the standard drug (mean reduction > 0).The test is conducted at a significant level, α=0.05Questions: a) Define Type I and Type II errors in the context of this study. (3)b) Suppose the actual mean improvement is 5 mmHg (i.e., the drug is more effective). Explain what a Type II error would mean in this context. (2)