Financial institutions utilize prediction models to predict bankruptcy. One such model is the Altman Z- score model, which multiple corporate income and balance sheet values to measures the financial health of a company. If the model predicts a low Z- score value, the firm is in financial stress and is predicated to go bankrupt within the next two years. If the model predicts a moderate or high Z-score value, the firm is financially healthy and is predicated to be a nonbankrupt firm. The alternative hypothesis is that the firm is predicted to be a bankrupt firm. a. Explain the risks associated with committing a Type I error in this case. b. Explain the risks associate with committing a Type II error in this case. c. Which type of error do you think executive want to avoid? Explain. d. How would changes in the model affect the probabilities of committing Type I and Type II errors?
Financial institutions utilize prediction models to predict bankruptcy. One such model is the Altman Z- score model, which multiple corporate income and balance sheet values to measures the financial health of a company. If the model predicts a low Z- score value, the firm is in financial stress and is predicated to go bankrupt within the next two years. If the model predicts a moderate or high Z-score value, the firm is financially healthy and is predicated to be a nonbankrupt firm. The alternative hypothesis is that the firm is predicted to be a bankrupt firm. a. Explain the risks associated with committing a Type I error in this case. b. Explain the risks associate with committing a Type II error in this case. c. Which type of error do you think executive want to avoid? Explain. d. How would changes in the model affect the probabilities of committing Type I and Type II errors?
Solution Summary: The author explains the risks associated with Type I error, which is the incorrect rejection of the true null hypothesis in hypothesis testing.
Financial institutions utilize prediction models to predict bankruptcy. One such model is the Altman Z- score model, which multiple corporate income and balance sheet values to measures the financial health of a company. If the model predicts a low Z- score value, the firm is in financial stress and is predicated to go bankrupt within the next two years. If the model predicts a moderate or high Z-score value, the firm is financially healthy and is predicated to be a nonbankrupt firm. The alternative hypothesis is that the firm is predicted to be a bankrupt firm.
a. Explain the risks associated with committing a Type I error in this case.
b. Explain the risks associate with committing a Type II error in this case.
c. Which type of error do you think executive want to avoid? Explain.
d. How would changes in the model affect the probabilities of committing Type I and Type II errors?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
1. Let X and Y be random variables and suppose that A = F. Prove that
Z XI(A)+YI(A) is a random variable.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
what is Research Design, Research Design Types, and Research Design Methods; Author: Educational Hub;https://www.youtube.com/watch?v=LpmGSioXxdo;License: Standard YouTube License, CC-BY