identify the type i error and the type ii err...

identify the type i error and the type ii error that correspond to the given hypothesis. the percentage of adults who retire at age 65 is less than 62%. identify the type i error. choose the correct answer below. a. reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when that percentage is actually less than 62%. b. fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when the percentage is actually equal to 62%. c. reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when that percentage is actually equal to 62%. d. fail to reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when that percentage is actually less than 62%.

Answer

# Brief Explanations: A type - I error occurs when the null hypothesis is rejected when it is actually true. The null hypothesis $H_0$ for the claim "The percentage of adults who retire at age 65 is less than 62%" is $H_0:p = 0.62$ (where $p$ is the proportion of adults who retire at age 65). Rejecting this null hypothesis when it is true means rejecting $H_0:p = 0.62$ when $p$ is actually 0.62. # Answer: C. Reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when that percentage is actually equal to 62%.