Identifying Type I and II Errors in Hypothesis Testing

A financial analyst is conducting a hypothesis test to determine whether the mean return of a certain investment strategy is greater than the mean return of the market. The null hypothesis ($$H_0$$) states that the mean return of the investment strategy is less than or equal to the mean return of the market ($$H_0: ext{mean}_ ext{strategy} \leq ext{mean}_ ext{market}$$) while the alternative hypothesis ($$H_1$$) states that the mean return of the investment strategy is greater than the mean return of the market ($$H_1: ext{mean}_ ext{strategy} > ext{mean}_ ext{market}$$). After conducting the test, the analyst finds that they have rejected the null hypothesis even though the mean return of the investment strategy is actually less than the mean return of the market.

Given this scenario, which of the following statements correctly describes the outcome and the implications of the type of error made?