In the Country A legal system, a defendant is presumed innocent until proven guilty. Consider a null hypothesis, Ho, that the defendant decisions: Convict the defendant (i.e., reject the null hypothesis) or do not convict the defendant (i.e., do not reject the null hypothesis). Explain the meaning of the risks innocent, and an alternative hypothesis, H,, that the defendant is guilty. A jury has two possible committing either a Type I or Type Il error in this example. Choose the correct answer below. O A. A Type I error would be incorrectly failing o convict the defendant when he is innocent. A Type Il error would be incorrectly convicting the defendant when he is guilty. O B. AType l error would be incorrectly convicting the defendant when he is innocent. A Type Il error would be incorrectly failing to convict the defendant when he is guilty. OC. A Type l error would be incorrectly failing o convict the defendant when he is guilty. A Type Il error would be incorrectly convicting the defendant when he is innocent. O D. A Type l error would be incorrectly convicting the defendant when he is guilty. A Type Il error would be incorrectly failing to convict the defendant when he is innocent.

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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In the Country A legal system, a defendant is presumed innocent until proven guilty. Consider a null hypothesis, Ho, that the defendant is innocent, and an alternative hypothesis, H,, that the defendant is guilty. A jury has two possible
decisions: Convict the defendant (i.e., reject the null hypothesis) or do not convict the defendant (i.e., do not reject the null hypothesis). Explain the meaning of the risks of committing either a Type I or Type Il error in this example.
Choose the correct answer below.
O A. A Type I error would be incorrectly failing to convict the defendant when he is innocent. A Type Il error would be incorrectly convicting the defendant when he is guilty.
B. A Type I error would be incorrectly convicting the defendant when he is innocent. A Type Il error would be incorrectly failing to convict the defendant when he is guilty.
C. A Type I error would be incorrectly failing to convict the defendant when he is guilty. A Type Il error would be incorrectly convicting the defendant when he is innocent.
D. A Type I error would be incorrectly convicting the defendant when he is guilty. A Type Il error would be incorrectly failing to convict the defendant when he is innocent.
Transcribed Image Text:In the Country A legal system, a defendant is presumed innocent until proven guilty. Consider a null hypothesis, Ho, that the defendant is innocent, and an alternative hypothesis, H,, that the defendant is guilty. A jury has two possible decisions: Convict the defendant (i.e., reject the null hypothesis) or do not convict the defendant (i.e., do not reject the null hypothesis). Explain the meaning of the risks of committing either a Type I or Type Il error in this example. Choose the correct answer below. O A. A Type I error would be incorrectly failing to convict the defendant when he is innocent. A Type Il error would be incorrectly convicting the defendant when he is guilty. B. A Type I error would be incorrectly convicting the defendant when he is innocent. A Type Il error would be incorrectly failing to convict the defendant when he is guilty. C. A Type I error would be incorrectly failing to convict the defendant when he is guilty. A Type Il error would be incorrectly convicting the defendant when he is innocent. D. A Type I error would be incorrectly convicting the defendant when he is guilty. A Type Il error would be incorrectly failing to convict the defendant when he is innocent.
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