Q#4 (1 point) In chapter 6, we learned that the (the significance level\" for a

Question

Q#4 (1 point) In chapter 6, we learned that the (the significance level" for a test controls the probability of making a Type I error. In other words, for a single test, if the null hypothesis is true, then there is still a probability of that a scientist will reject that null. A scientist performs a study that leads to ten hypothesis tests. Each test uses an independent set of data. Imagine that we know that all ten null hypotheses are true (the scientist performing the tests would not know this, of course) The scientist uses the widely used = 0.05 significance level. What is the probability that the scientist will make at least one Type I error.

Explanation / Answer

p = 0.05

consider an event such that scientist will not make any type I error.
this probability is given by (1-0.05)^10 = 0.5987

Hence, required probability that the scientist will make at least one type I error = 1 - 0.5987 = 0.4013

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