Monday, May 11, 2009

Practice true-false questions about hypothesis testing.

1. If the confidence level is 90%, it is more common to make Type I errors than it is with a confidence level of 99%.

2. Proportion tests are never two-tailed.

3. If we reject H0, but in reality we shouldn't have, we have made a Type II error.

4. If we have a z-score of -1.38, we would reject H0 in a 90% confidence one-tailed low test.

5. If we have a t-score of -1.38 and n=7, we would reject H0 in a 90% confidence one-tailed low test.

6. The null hypothesis is always stated as an equation.

7. You can never start an experiment by assuming the alternate hypothesis is true.

8. If we have a z-score of -1.68, we would reject H0 in a 90% confidence two-tailed test.

9. For us to be 95% confident the lady tasting tea knew what she was doing, she had to get at least 95% of her answers correct.

10. You are allowed to do an experiment and decide what confidence level you want to use after you seen the results.

Answers in the comments.

1 comment:

Prof. Hubbard said...

1. If the confidence level is 90%, it is more common to make Type I errors than it is with a confidence level of 99%.

True.

2. Proportion tests are never two-tailed.

False.

3. If we reject H_0, but in reality we shouldn't have, we have made a Type II error.

False. This is a Type I error.

4. If we have a z-score of -1.38, we would reject H_0 in a 90% confidence one-tailed low test.

True. z = -1.39 corresponds to a p-value of .0838, which is less than 10%.


5. If we have a t-score of -1.38 and n=7, we would reject H_0 in a 90% confidence one-tailed low test.

False. When degrees of freedom is 6, the one-tailed t-score should be less than -1.440.

6. The null hypothesis is always stated as an equation.

True.

7. You can never start an experiment by assuming the alternate hypothesis is true.

True.


8. If we have a z-score of -1.68, we would reject H_0 in a 90% confidence two-tailed test.

True. The p-value is less than 5%, and the highest 5% and lowest 5% make up the tails where we reject H_0.

9. For us to be 95% confident the lady tasting tea knew what she was doing, she had to get at least 95% of her answers correct.

False. 95% correct would be her p-hat, not her p-value, which we get by figuring out the z-score and finding the percentile.


10. You are allowed to do an experiment and decide what confidence level you want to use after you seen the results.

False. Set a level beforehand.