Identify the type II error. Choose the correct answer below. A. Reject the null

Question

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

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

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

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

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

Explanation / Answer

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

type 2 error

Table of error types[edit]

Tabularised relations between truth/falseness of the null hypothesis and outcomes of the test:[1]

David .2004

Type-1 = True H0 but reject it (False Positive)

Type-2 = False H0 but accept it (False Negative)

Table of error types Chart

David .2004

Null hypothesis (H0) is Valid/True Invalid/False Judgement of Null Hypothesis (H0) Reject Type I error
(False Positive) Correct inference
(True Positive) Fail to reject Correct inference
(True Negative) Type II error
(False Negative) <<Memory formulas>>

Type-1 = True H0 but reject it (False Positive)

Type-2 = False H0 but accept it (False Negative)

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