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To get published in an academic journal, you have to prove something "interesting." As a result,...

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Basic Math

To get published in an academic journal, you have to provesomething "interesting." As a result, most academics begin theirresearch by investigating hypotheses that, all else equal, areunlikely to be true. Suppose each research project begins with aresearch claim that has a 10% chance of being correct.

They then perform a study that satisfies the following twoproperties:

1) The probability that they correctly *find* an important result given that their *claim* is true is 50%2) The probability that they incorrectly *find* an important result given that their *claim* is false is 5%

If they find an important result they are published.What is the probability that their claim was true, giventhat they were published?

Answer & Explanation Solved by verified expert
3.5 Ratings (388 Votes)

P(claim was true | they were published) = P(they are published | claim was true) * P(claim was true)/P(they are published)

= (0.5 * 0.1)/(0.5 * 0.1 + (1 - 0.05) * (1 - 0.1))

= 0.0552

                              

                                              

                                       

                                                       

                                          

                                  

                                 

                               
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