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 access is greater than 60%. Identify the type I error. Choose the correct answer below.

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

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