What is β, the probability of a Type II error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are not up to the current electric codes.

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Mathematics

Tommy

22 October, 15:18

What is β, the probability of a Type II error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are not up to the current electric codes.

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Gidget · Answer 1

The type II error, in the execution of a hypothesis test, consists in matching the null hypothesis since this is false.

Making a type II error, in this context, means that the researcher would accept that the proportion of households that do not comply with electrical codes is greater than 0.1, when in reality this proportion is less than 0.1. Precautionary measures could be stopped because the proportion of households committing irregularities in electrical codes is low.