SOLUTION: PLEASE HELP!.... identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of settled medical malpractice suits is 0.32. Which o

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Question 1115729: PLEASE HELP!....
identify the type I error and the type II error that corresponds to the given hypothesis.
The proportion of settled medical malpractice suits is 0.32.
Which of the following is a type I error?
A.Fail to reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually different from 0.32.
B.Fail to reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually 0.32.
C.Reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually different from 0.32.
D.Reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually 0.32.
Which of the following is a type II error?
A.Fail to reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually different from 0.32.
B.Reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually 0.32.
C.Fail to reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually 0.32.
D.Reject the claim that the proportion of settled malpractice suits is 0.32 when the proportion is actually different from 0.32.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

These two facts should be in your notes:

Fact: A type I error is when you reject the null hypothesis when it is true. The way I remember it is that when you make a type one error, you are rejecting the first hypothesis (the null) when it is true, and of course making a mistake in doing so (hence the term "error").

Fact: A type II error is when you fail to reject the null and must "accept" the null; however, the reality is that the alternative hypothesis was the true hypothesis. So making a type two error means you effectively reject the second hypothesis and make a mistake in doing so.

With that in mind, let's answer the two questions

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First set up the two hypotheses.

Null Hypothesis:
H0:
In English: "The proportion of settled malpractice suits is 0.32"

Alternative Hypothesis:
H1:
In English: "The proportion of settled malpractice suits is different from 0.32" (aka not equal to 0.32)

If you made a type I error, then you reject H0 (the null) and go with the alternative (H1). But the reality is that H0 was the true hypothesis all along.

So you reject the claim that the proportion of settled malpractice suits is 0.32 when in reality the proportion is 0.32

This means the answer for the first part is Choice D

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For the second part, the answer is Choice A

If you make a type II error, then you fail to reject the claim that the proportion of settled malpractice suits is 0.32, when the proportion is actually different from 0.32

So once again, making a type II error means you go with the null when the alternative is actually the true hypothesis.