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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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