True or False: 1. If the p-value is .90, you are 90% confident the two groups ar

Question

True or False: 1. If the p-value is .90, you are 90% confident the two groups are the same.

2. The power of a statistical test is the probability that you will not make a type-2 error, if the treatment really does have an effect.

3. The type-1 error rate of a test is the same as the threshold for calling a p-value “statistically significant”.

4. If a study is not randomized, you will still get unbiased estimates of a treatment effect as long as your sample size is large enough.

5. If two events A and B are mutually exclusive and do not have probability 0, then they cannot be independent.

6. If you get a result at the end of the study that is not statistically significant, there are 3 possible explanations: The null hypothesis was true. The null hypothesis is not true but you had too small a sample size to find a difference. The null hypothesis is not true but you had bad luck.

Explanation / Answer

Solution:-

1. True, If the p-value is 0.90, you are 90% confident the two groups are the same.

2. True, The power of a statistical test is the probability that you will not make a type-2 error, if the treatment really does have an effect.

3. True, The type-1 error rate of a test is the same as the threshold for calling a p-value “statistically significant”.

5. False, If two events A and B are mutually exclusive and do not have probability 0, then they cannot be independent.

6. False, If you get a result at the end of the study that is not statistically significant, there are 3 possible explanations: The null hypothesis was true. The null hypothesis is not true but you had too small a sample size to find a difference. The null hypothesis is not true but you had bad luck.

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