Current Attempt in Progress In this exercise, we are conducting many hypothesis tests to test a claim. Assume that the null hypothesis is true. If 160 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.

When conducting hypothesis tests, if the null hypothesis is true, we expect to make Type I errors at the chosen significance level. Here, you're using a significance level of 5%, which means that approximately 5% of the tests will incorrectly reject the null hypothesis and find significance when there really isn't any. Out of 160 tests, you can calculate it by multiplying 160 by 0.05, giving you roughly 8 tests that will incorrectly find significance. On your journey through hypothesis testing, it’s essential to remember that the significance level doesn’t guarantee that 5% of your tests will fail; it’s more of a long-term average across many tests. So if you conduct these tests repeatedly under the same conditions, around 5% should yield a false positive. Embrace it, but also be cautious!