If the significance level, ?, is increased then the power will decrease? T/F A T
ID: 3067055 • Letter: I
Question
If the significance level, ?, is increased then the power will decrease?
T/F
A Type I error can occur when the null hypothesis is........
a type I error can be thought of as “convicting an innocent person
T/F
A P-value of 0.02 provides more evidence against the null hypothesis than a P-value of 0.03.
True/False
A _____________is made when the null hypothesis is not rejected when in fact it is false.
a.
none of the above
b.
type I error
c.
good decision
d.
type II error
a.
none of the above
b.
type I error
c.
good decision
d.
type II error
Explanation / Answer
The significance level ? of the test. If all other things are held constant, then as ? increases, so does the power of the test. This is because a larger ? means alarger rejection region for the test and thus a greater probability of rejecting the null hypothesis.
Hence answer is False
In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is incorrectly retaining a false null hypothesis (also known as a "false negative" finding).
A Type I error can occur when the null hypothesis is correct and we reject it
c. A P-value of 0.02 provides stronger evidence than a P-value of 0.03 because the P-value is the probability of getting data at least as inconsistent with the null hypothesis as the actual data explained.
So answer is True
A Type II error is made when the null hypothesis is not rejected when in fact it is false.
So answer is d
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