Question: You set up a booth for tea first or milk first challenge at 5 different universities. At each university, you offered 100 students each with

You set up a booth for "tea first or milk first challenge" at 5 different universities. At each university, you offered 100 students each with 10 cups of tea, 8 of them are made with tea in first and 2 of them made with milk in first but the sequence of the presentation to the participants is randomized. You ran a test to see if the universities differ in the proportion of students who can correctly tell. After you got a significant university effect, you ran 10 pair-wise comparisons to see which universities are different from each other. You chose an alpha level of 0.1 (note: you choose to use a higher alpha level here). How many false positives do you expect to find in the 10 comparisons

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