Type 1 and type 2 errors
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Intros
Examples
Lessons
- Determining the Significance of Type 1 and Type 2 Errors
What are the Type 1 and Type 2 Errors of the following null hypotheses :
This table may be useful:
is true
is false
Reject
Type 1 Error (False Positive)
Correct Judgment
Fail to Reject
Correct Judgment
Type 2 Error (False Negative)
- Calculating the probability of Committing Type 1 and Type 2 Errors
Suppose 8 independent hypothesis tests of the form and < were administered. Each test has a sample of 55 people and has a significance level of =0.025. What is the probability of incorrectly rejecting a true in at least one of the 8 tests? - Pacus claims that teachers make on average less than $66,000 a year. I collect a sample of 75 teachers and find that their sample average salary is $62,000 a year. The population standard deviation for a teacher's salary is $10,000 a year.