Suppose that we conduct a test of significance using 5% as our level of significance

Suppose that we conduct a test of significance using 5% as our level of significance. ove. a. What is the probability of making a Type I error (if the em- null hypothesis is true)? ? b. Suppose we conduct 10 different tests of significance ales each using a 5% significance level (and again where all is the null hypotheses are true). How do you think the nd probability of making at least one Type I error in those a 10 tests will compare with your answer to the previous question: will it be the same, be smaller, or be larger? Explain. re 2.3.2 Indicate whether or not you would reject the null hy- pothesis, at the a = 0.05 significance level, for the following p-values. a. p-value = 0.078 b. p-value = 0.045 c. p-value = 0.001 d. p-value = 0.051 2.3.3* Indicate whether or not you would reject the null hypothesis, with a p-value of 0.064, for the following signif- icance levels. a. a = 0.05 b. a = 0.10 c. a = 0.01 d. a = 0.065 2.3.4 Suppose that you perform a significance test and, based on the p-value, decide to reject the null hypothesis at the a = 0.05 significance level. Then suppose that your colleague decides to conduct the same test on the same data but using a different significance level. For each of the fol- lowing significance levels, indicate whether you would re- ject the null hypothesis, fail to reject the null hypothesis, or do not have enough information to say. (Hint: First ask yourself what must be true about the p-value based on your decision to reject the null hypothesis at the a = 0.05 signif- icance level.) a. a = 0.10 b. a = 0.01 c. a = 0.0001 d. a = 0.065 2.3.5* Suppose that you perform