5. The figure below shows the distribution of the test statistic under the null

Question

5. The figure below shows the distribution of the test statistic under the null hypothesis (Ho), and the alternate hypothesis (HA) The null distribution is a normal distribution with mean 5 and standard deviation 1, and the alternate distribution is also a normal distribution with mean 3.04 and standard deviation 0.5. What is the type-l error rate for the null hypothesis test itf significance level alpha - 0.05 is used? (assume a two-sided test) 0.5 -.. null distribution alternate distribution 0.4 0.3 0.2 0 4 6 8 10 test statistic QUESTION 6 1 points 6. (continuedfrom #5) Using the same null and alternate distributions, what is the type-ll error rate for the null hypothesis test if significance level alpha - 0.05 is used?

Explanation / Answer

5. The type I error rate or significance level is the probability of rejecting the null hypothesis given that it is true. It is denoted by the Greek letter ? (alpha) and is also called the alpha level.

So Type I erro is 0.05

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