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 adults who have a job is greater than 88%. Identify the type I error, Choose the correct answer below. Fat to reject the null hypothesis that the percentage of adults who have a job is greater than 88% when the percentage is actually equal to 88% Reject the null hypothesis that the percentage of adults who have a job a greater than 88% when that percentage is actually greater than 88% 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% Fail to reject the null hypothesis that the percentage of adults who have a job is equal to 88% when that percentage s actually greater than 88%. Identify the type II error Choose the correct answer below. Fail to reject the null hypothesis that the percentage of adults who have a job is equal to 88% when that percentage is actually greater than 88%. Reject the null hypothesis that the percentage of adults who have a job is greater than 88% when that percentage is actually greater than 88%. 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%. Fail to reject the null hypothesis that the percentage of adults who have a job is greater than 88% when the percentage is actually equal to 88%.

Explanation / Answer

Type I error

When the null hypothesis is true and you reject it, you make a type I error. The probability of making a type I error is , which is the level of significance you set for your hypothesis test.

Hence, option (B) Rejects the null hypothesis that the percentage of adults who have a job is greater than 88% when that percentage is actually greater than 88%

Type II error

When the null hypothesis is false and you fail to reject it, you make a type II error. The probability of making a type II error is , which depends on the power of the test.

Hence option (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 greater than 88%.

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