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3. Consider the two phrases "fail to reject the null hypothesis" vs. "accept the null hypothesis." If you think about them carefully, these two phrases are very similar. Yet the second is something we never do – we never choose "accept the null hypothesis" as one of the outcomes. Why not? Hint: it may help to use courtroom language instead. In that case, you should discuss the difference between declaring someone "not guilty" and declaring them "innocent."

3. Consider the two phrases "fail to reject the null hypothesis" vs. "accept the null hypothesis." If you think about them carefully, these two phrases are very similar. Yet the second is something we never do – we never choose "accept the null hypothesis" as one of the outcomes. Why not? Hint: it may help to use courtroom language instead. In that case, you should discuss the difference between declaring someone "not guilty" and declaring them "innocent."

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. Consider the two phrases "fail to reject the null hypothesis" vs. “accept the null hypothesis." If you think about them carefully, these two phrases are very similar. Yet the second is something we never do – we never choose “accept the null hypothesis" as one of the outcomes. Why not? Hint: it may help to use courtroom language instead. In that case, you should discuss the difference between declaring someone “not guilty" and declaring them "innocent." 4. Unfortunately it is impossible to avoid making 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. ors, and depending on how you : up your system, 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. Discuss this. Give me your opinion on which error is more dangerous to make and which system works better, in your opinion.
Transcribed Image Text:3. Consider the two phrases "fail to reject the null hypothesis" vs. “accept the null hypothesis." If you think about them carefully, these two phrases are very similar. Yet the second is something we never do – we never choose “accept the null hypothesis" as one of the outcomes. Why not? Hint: it may help to use courtroom language instead. In that case, you should discuss the difference between declaring someone “not guilty" and declaring them "innocent." 4. Unfortunately it is impossible to avoid making 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. ors, and depending on how you : up your system, 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. Discuss this. Give me your opinion on which error is more dangerous to make and which system works better, in your opinion.
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