QuestionDetermine whether the outcome is a Type I error, a Type II error, or a correct decision.
A test is made of versus .
The true value of is 17 , and is not rejected.
The outcome of the test is a
(Choose one)
Type I error
correct decision
Type II error
Studdy Solution
STEP 1
1. A Type I error occurs when the null hypothesis is true, but we incorrectly reject it.
2. A Type II error occurs when the null hypothesis is false, but we fail to reject it.
3. A correct decision occurs when the decision matches the true state of nature.
STEP 2
1. Identify the true state of nature.
2. Determine the decision made in the hypothesis test.
3. Compare the decision to the true state to classify the outcome.
STEP 3
Identify the true state of nature:
The true value of is 17, which means is false.
STEP 4
Determine the decision made in the hypothesis test:
is not rejected.
STEP 5
Compare the decision to the true state:
Since is false and was not rejected, this is a Type II error.
The outcome of the test is a:
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