1. We are testing a new drug with potentially dangerous side effects to see if it is significantly better than the drug currently in use. If it is found to be more effective, it will be prescribed to millions of people. a. What does it mean in context to make a type I error in this situation

New drug is considered to better effective in terms of side effects) - than old drug; when actually there is no difference between effectiveness of both drugs in terms of side effects

Step-by-step explanation:

This drug efficiency can be checked by Hypothesis Testing. Null Hypothesis is a hypothesis is a neutral hypothesis, signifying no difference & / or no relationship between the variables. Alternate Hypothesis is hypothesis stating difference or relationship between two variables.

Testing new drug with potentially dangerous side effects to see if it is significantly better than the drug currently in use : -

Null Hypothesis = There is no difference between effectiveness of both drugs, with regards to their dangerous side effects. Alternate Hypothesis = New drug is better effective with regards to dangerous side effects, than old drug.

If it is found to be more effective implies that, the null hypothesis is rejected.

Type one error is rejecting a null hypothesis which is actually true. In this case, it implies that : - New drug is considered to better effective in terms of side effects - than old drug; when actually there is no difference between effectiveness of both drugs in terms of side effects