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Google is constantly running tests to evaluate new search algorithms. For example, Google might test three algorithms using a sample of 10,000 google.com search queries.  The table below shows an example of 10,000 queries split into three algorithm groups. The group sizes were specified before the start of the study to be 5000 for the current algorithm and 2500 for each test algorithm. Each search is randomly assigned an algorithm.  It is then determine whether the user clicked one of the links provided and did not try a new search, or if the user performed a related search.  Under the first scenario, we might think that the user was satisfied with the search results. If the user performed a new search then the search results probably were not relevant, so the user tried a second search.

 

Current

Test 1

Test 2

Total

No New Search

3511

1749

1818

7078 

New Search 

1489

751

682

2922 

Total

5000

2500

2500

10000 

What percent of the searches that used the current algorithm resulted in a new search by the user?

Make sure you show your work.

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