1 For a given test if you reduce the probability of making a
1. For a given test, if you reduce the probability of making a type I error, then the probability of making a type II error
increases
decreases
remains the same
2. The \"level of significance\" of a test is ________ and is the probability of making a type ________ error.
alpha; I
alpha; II
beta; I
beta; II
3. If the conclusion of a test is to \"reject Ho\", then
we have proven Ho right.
HA cannot be right.
our sample result was so improbable that we no longer believe Ho can be true.
our sample result was so probable that Ho must be true.
4. The p-value of a hypothesis test is
the probability of making a type II error.
the probability of accepting Ho.
the probability of getting another sample result identical to this one.
the probability of getting a test statistic at least as extreme as this, if Ho is really true.
| increases | ||
| decreases | ||
| remains the same |
Solution
For a given test, if you reduce the probability of making a type I error, then the probability of making a type II error increases. The \"level of significance\" of a test is alpha and is the probability of making a type I error. If the conclusion of a test is to \"reject Ho\", then our sample result was so improbable that we no longer believe Ho can be true. The p-value of a hypothesis test is the probability of getting a test statistic at least as extreme as this, if Ho is really true.