Question

Which of the following does NOT describe the cutoff for the p-value?

The cutoff for the p-value is an error probability.
If you use a p% cutoff for the p-value, and the null hypothesis happens to be
true, then there is about a p% chance that your test will conclude that the
alternative is true.
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The 5% cutoff for the p-varde is more conservative than 1%.
With the 1% cutoff for the p-value there is less chance of concluding
"alternative" if the null happens to be true.

Answer 1

Option 3. The 5% cutoff for the p-value is more conservative than 1%.

Explanation:

• Option 3 doesn't describe the cutoff for the p-value as The 5% cutoff for the p-value is less conservative than 1% as the latter would require more evidence to make the null hypothesis incorrect thus, this statement doesn't describe the cutoff for the p-value
• Option 1 is true as the cutoff of the p-value tells us the probability of an error in the hypothesis.
• Option 2 is true as setting a cutoff means we allow the chances of error while accepting the null hypothesis as true which would give us the space to still make the alternative hypothesis true.
• Option 4 is true as 1% cutoff means more evidence required to make the null hypothesis false and reject it out .