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5. Jeff was arrested for robbery. At his trial, the null hypothesis is that he is...
6.(13) Standard of Proof Recall that (when the null hypothesis is that an accused person is innocent) a Type I error occurs when an innocent person is found guilty, and that a Type II error occurs when a guilty person is found innocent. The expected social cost of judicial error in a case equals the (probability of a Type I error times the social cost of a Type 1 eror) + (probability of a Type II error times the social...
The notion of Type I and Type II Errors is very important in hypothesis testing. The Ho/Ha should be set up such that a Type I Error is more serious than a Type II Error. A common example used to discuss Type I and Type II errors is the example of a trial in the US. Under US law, a defendant is considered "innocent until proven guilty." You could set up this hypothesis test as follows: Ho: defendent is...
This problem is designed to give you an understanding of the methodology behind hypothesis testing. Ever wonder how someone in America can be arrested if they really are presumed innocent, why a defendant is found not guilty instead of innocent, or why Americans put up with a justice system which sometimes allows criminals to go free on technicalities? These questions can be understood by understanding the similarity of the American justice system to hypothesis testing in statistics and the two...
If the null hypothesis is rejected when the null hypothesis is true, what type of error, if any, has been made? Type I error Type II error Correct decision Type error
As we have seen, conducting a hypothesis test based on a sample of data is not a fail-safe endeavor. As managers we need to weigh the pros and cons of each type of error. The movie theater manager wants to test whether showing old classics changes the average satisfaction rating of his customers. The null hypothesis is that there is no change. Describe what the type I and type II errors would be in the context of this problem. Which...
In hypothesis testing, if the null hypothesis has NOT been rejected when the alternative hypothesis is true, a. a Type II error has been committed b. a Type I error has been committed c. the correct decision has been made d. either a Type I or Type II error has been committed
if a hypothesis test leads to failing to reject the null hypothesis, a___ a) type II error must have been committed b) type II error MAY have been committed c) type I error MAY have been commited
If in reality (i.e., nature) the null is true, but the research rejects the null hypothesis, the researcher has made a _____________. a. Type I Error b. Type II Error c. Correct conclusion and Power has been found d. Potentially correct conclusion
If the null hypothesis is rejected when it is false, this is called O an alternative hypothesis O a type I error O the correct decision O a type II error
You are testing the null hypothesis µ=150 versus the two tailed alternative. You reject the null hypothesis in favor of the alternative hypothesis. If in reality, µ does equal 150, you have made a : A. Correct Decision B. Type II Error C. Type I Error