Question

The average retirement age for a certain country was reported to be 56.4 years according to an international group dedicated to promoting trade and economic growth. With the pension system operating with a deficit, a bill was introduced by the government during the summer to raise the minimum retirement age from 60 to 62 Suppose a survey of 49 retiring citizens is taken to investigate whether the new bil has raised the average age at which people actually retire. Assume the standard deviation of the retirement age is 5 years. Usinga 0.05, answer parts a through c below. a. Explain how Type I and Type ll errors can occur in this hypothesis test. A Type l error can occur when the researcher concludes the average retirement age increased, but the average retirement age did not increase. A Type lI error can occur when the researcher concludes that the average retirement age did not increase, when, in fact, the average retirement age increased. b. Calculate the probability of a Type ll error occurring if the actual population age is 57.7 years old The probability of committing a Type Il error is.433 Round to three decimal places as needed.) c. Calculate the probability of a Type ll error occurring if the actual population age is 59.2 years old. The probability of committing a Type Il error is Round to three decimal places as needed.)

Answer 1