Question

Scenario A. A researcher has developed a new over the counter drug to treat mild muscle pain and wants to see how it compares to ibuprofen. She randomly assigns participants to either take the new drug or ibuprofen, and measures their pain.

What would be a Type I error for this scenario?

What would be a Type II error for this scenario?

Answer 1

Answer)

Null hypothesis Ho : P1 = P2

Alternate hypothesis Ha : P1 not equal to P2

Where

P1 = proportion of people getting treated by counter drug

P2 = proportion of people getting treated by ibuprofen

A)

Type 1 error means rejection of true null hypothesis

So, if we will conclude that porportion of participants getting treated by counter drug is different from the proportion of participants getting treated by ibuprofen but infact the proportions are same then we will commit type 1 error

B)

Type 2 error means failure to reject the false null hypothesis

So, if we will conclude that porportion of participants getting treated by counter drug is not different from the proportion of participants getting treated by ibuprofen but infact the proportions are different then we will commit type 2 error.