Identify the type I error and the type II error that correspond to the given hyp

Question

Identify the type I error and the type II error that correspond to the given hypothesis.

The percentage of households with Internet with Internet access is less than 60%.

Identify the type I error. Choose the correct answer below.

A.Fail to reject the null hypothesis that the percentage of households with Internet with Internet access is equal to 60% when that percentage is actually less than 60%.

B. Fail to reject the null hypothesis that the percentage of households with Internet with Internet access is less than 60% when the percentage is actually equal to 60%.

C.Reject the null hypothesis that the percentage of households with Internet with Internet access is less than 60% when that percentage is actually less than 60%.

D.Reject the null hypothesis that the percentage of households with Internet with Internet access is equal to 60% when that percentage is actually equal to 60%.

Identify the type II error. Choose the correct answer below.

.

A. Fail to reject the null hypothesis that the percentage of households with Internet with Internet access is equal to 60% when that percentage is actually less than 60%.

B. Reject the null hypothesis that the percentage of households with Internethouseholds with Internet access is less than 60% when that percentage is actually less than 60%.

C.Fail to reject the null hypothesis that the percentage of households with Internet with Internet access is less than 60% when the percentage is actually equal to 60%.

D.Reject the null hypothesis that the percentage of households with Internet with Internet access is equal to 60% when the percentage is actually equal to 60%.

Explanation / Answer

A)

Type I error occurs when we reject the true null hypothesis.

So if actually the percentage of households with Internethouseholds with Internet access is less than 60%,

and we reject the null hypothesis the we have made type I error

Option B) is correct

B) Type II error occurs when we accept ( fail to recject) a false null hypothesis.

So if the percentage of households with Internethouseholds with Internet access is equal to 60%

and we fail to reject the null hypothesis , We made type II error

So option C) is correct

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