A consultant claims that more than 7.4% of the customers serviced by Clay Corpor

Question

A consultant claims that more than 7.4% of the customers serviced by Clay Corporation are unhappy with the service. Identify the Type II error in this context. (Figure out what your Ho and Ha are)

A.) The error of accepting the claims that the true proportion is more than 7.4% when it really is more than 7.4%

B.)The error of failing to reject the claim that the true proprtion is most 7.4% when it is actually more than 7.4%

C.) The error of rejecting the claim that the true proprtion is more than 7.4% when it is really is more than 7.4%

D.)The error of rejecting the claim that the true proprtion is at most 7.4% when it is really at most 7.4%

E.)The error of failing to accept the claim that the true proportion is at most 7.4% when it is actually more than 7.4%

Explanation / Answer

H0: More than or equal to 7.4% of the customers serviced by Clay Corporation are unhappy with the service.

H1: Less than 7.4% of the customers serviced by Clay Corporation are unhappy with the service.

Correct decision might be,

1) Accepting the null hypothesis

2) Rejecting the null Hypothesis

Errors will be,

3) Type I error: False Rejection the true null hypothesis.

4) Type II error: False acceptance of the incorrect null hypothesis.

Let me make your statements clear and straight forward,

A.) The error of accepting the claims that the true proportion is more than 7.4% when it is really more than 7.4%

B.) The error of accepting the claim that the true proportion is not more than 7.4% when it is really more than 7.4%.

C.) The error of rejecting the claim that the true proportion is more than 7.4% when it is really more than 7.4%

D.) The error of rejecting the claim that the true proportion is not more than 7.4% when it is really not more than 7.4%

E.)The error of rejecting the claim that the true proportion is not more than 7.4% when it is really more than 7.4%

So, your answer will be (b), as it states an incorrect null hypothesis where we are accepting it.

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