Identify the type I error and the type II error that correspond to the given hypothesis. The percentage of adults who have a job

Question

3 years ago

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Identify the type I error and the type II error that correspond to the given hypothesis. The percentage of adults who have a job

is equal to 88 %. Identify the type I error. Choose the correct answer below. A. Fail to reject the null hypothesis that the percentage of adults who have a job is equal to 88 % when that percentage is actually different from 88 %. B. Fail to reject the null hypothesis that the percentage of adults who have a job is equal to 88 % when the percentage is actually equal to 88 %. C. Reject the null hypothesis that the percentage of adults who have a job is equal to 88 % when that percentage is actually equal to 88 %. D. Reject the null hypothesis that the percentage of adults who have a job is equal to 88 % when that percentage is actually different from 88 %. Identify the type II error. Choose the correct answer below. A. Reject the null hypothesis that the percentage of adults who have a job is equal to 88 % when that percentage is actually different from 88 %. B. Reject the null hypothesis that the percentage of adults who have a job is equal to 88 % when the percentage is actually equal to 88 %. C. Fail to reject the null hypothesis that the percentage of adults who have a job is equal to 88 % when the percentage is actually equal to 88 %. D. Fail to reject the null hypothesis that the percentage of adults who have a job is equal to 88 % when that percentage is actually different from 88 %.

Mathematics

1 answer:

pychu [463] · Answer 1 · 2021-12-23T10:22:33+03:00

Answer:

Type I error: The correct option is (C).

Type II error: The correct option is (D).

Step-by-step explanation:

The type-I-error is the probability of rejecting the null hypothesis when the null hypothesis is true.

The type-II-error is the probability of filing to reject the null hypothesis when in fact it is false.

The hypothesis in this problem can be defined as follows:

Null hypothesis (H₀): The percentage of adults who have a job is equal to 88%.

Alternate Hypothesis (Hₐ): The percentage of adults who have a job is different from 88%.

Type I error:

The type-I-error in this case will be committed when we conclude that the percentage of adults who have a job is different from 88% when in fact it is equal to 88%.

Type II error:

The type-II-error in this case will be committed when we conclude that the percentage of adults who have a job is equal to 88% when in fact it is different than 88%.