Hypothesis Testing: Types of Tests and Errors
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Please help with the following questions.
What is a one tail test? A two tail test?
When are they used?
What is a type I error? A type II error?
In the hypotheses:
Ho: A new auto engine gets the same mpg as an older version
Ha: A new auto engine gets more mpg than an older version
Ho: A new drug for cardio-vascular disease is not safe
Ha: A new drug for cardio-vascular disease is safe
Why is the alternate stated as it is?
What are the "type" errors and their consequences?
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Solution Summary
This solution helps answer various statistical questions, involving one and two tailed tests and type I and type II errors.
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(a) A test where a population parameter is tested to see if it is less than or greater than a specified value
(b) A test where a population parameter is tested to see if it is not equal to a specified value
(c) They are used as the situation demands- whether the parameter to be tested is <, > or <> to a specified value
(d) Type I error: Rejecting a true null hypothesis
Type II error: Failing to reject ...
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