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In this exercise, we are conducting many hypothesis tests to test a claim. Assume that the null hypothesis is true. If 900 tests are conducted using a significance level of $5 \%$, approximately how many of the tests will incorrectly find significance?
i of the tests will find significance.
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Final Answer: Approximately \(\boxed{45}\) tests will incorrectly find significance.

Steps

Step 1 :The question is asking for the number of tests that will incorrectly find significance. This is also known as a Type I error, which occurs when we reject the null hypothesis when it is actually true.

Step 2 :The probability of a Type I error is equal to the significance level, which in this case is 5% or 0.05.

Step 3 :Therefore, if we conduct 900 tests, we would expect approximately 5% of them to incorrectly find significance.

Step 4 :Let's calculate this: \(tests = 900\), \(significance\_level = 0.05\), \(incorrect\_tests = tests * significance\_level = 45.0\)

Step 5 :Final Answer: Approximately \(\boxed{45}\) tests will incorrectly find significance.

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