Historically, the S&P has a mean return of 0.95. Conduct a hypothesis test to determine if the investor's portfolio performed significantly worse than the performance of the S&P 500. Use a level of significance of α=0.05.

Anita has a success rate of 80% on free throws in basketball. she wants to know the estimated probability that she can make exactly four of five free throws in her next game. how can she simulate this scenario? categorize each simulation of this scenario as correct or incorrect.