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# You have 20 teams that have signed up for the competition and your boss requires you to provide a confidence interval of 0.05 on

## You have 20 teams that have signed up for the competition and your boss requires you to provide a confidence interval of 0.05 on the prediction ac- curacy of the best classifier that will hold with probability at least 95%. In other words, with probability at least 95% the expected zero-one er- ror of the classifier you have selected should not exceed your estimate by more than 0.05 (one-sided error). [Side remark: the confidence interval of 0.05 means that the error will not increase by more than 5% of the total number of predictions.] How many samples do you have to keep aside in order to satisfy this requirement, assuming that you accept 1 solution from each team? Provide a complete calculation, numerical answers without any derivations or explanations will not be accepted.

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