We are testing a new drug with potentially dangerous side effects to see if it i
ID: 3333441 • Letter: W
Question
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. 1. a. What does it mean in context to make a type I error in this situation? b. What does it mean in context to make a type Il error in this situation? c. Which error do you think is worse? Now we are testing to see whether taking a vitamin supplement each day has significant health benefits. There are no (known) harmful side effects of the supplement. 2. a. What does it mean in context to make a type I error in this situation? b. What does it mean in context to make a type Il error in this situation? c. Which error do you think is worse? For a given situation, what should you do if you think that committing a type l error is much worse than committing a type Il error? A. Increase the significance level. B. Decrease the significance level. C. Nothing, just be careful to take a good sample. 3.Explanation / Answer
1. In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (a "false positive"), while a type II error is incorrectly retaining a false null hypothesis (a "false negative").
a. For this condition type I error is to consider new drug to be more effective but in reality it is less than or equal to current one.
b. For this condition type II error is to consider new drug less or equal effective than the current one but in really it is more effective.
c. Type I error is worse as it is rejecting the fact that new drug is less or equal effective than the current one.
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