4. Unfortunately it is impossible to avoid making errors, and depending on how you set up your system, you will end up tending to make one of the two possible errors more often than the other. a) By making the null hypothesis the default assumption, which error do you think is more likely to occur when hypothesis testing - Type I or Type II? Explain briefly. b) Our legal system is set up very similarly to hypothesis testing - by making presumption of innocence the default, we have decided that it is worth sometimes letting a guilty person go free in favor of trying our best not to convict innocent people. The alternative would be to have a bias toward conviction, so that we convicted every guilty person but also quite often convicted innocent people too.
4. Unfortunately it is impossible to avoid making errors, and depending on how you set up your system, you will end up tending to make one of the two possible errors more often than the other. a) By making the null hypothesis the default assumption, which error do you think is more likely to occur when hypothesis testing - Type I or Type II? Explain briefly. b) Our legal system is set up very similarly to hypothesis testing - by making presumption of innocence the default, we have decided that it is worth sometimes letting a guilty person go free in favor of trying our best not to convict innocent people. The alternative would be to have a bias toward conviction, so that we convicted every guilty person but also quite often convicted innocent people too.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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