Let\'s examine the relationship between CI\'s and hypothesis tests: (a) You calc

Question

Let's examine the relationship between CI's and hypothesis tests: (a) You calculate a 95% confidence interval for mu and come up with (10, 22). If you test H_0 mu = 27 and use alpha = .05, will you reject H_0? Why or why not? (b) Now you calculate a 95% CI for mu and come up with (-3, 6). If you test H_0: mu = 7 and use alpha = .10, will you reject H_0? Why or why not? (c) Finally, you calculate a 95% CI for mu and come up with (-34, -28). If you test H_0: mu = -23 and use alpha = .01, will you reject H_0? Why or why not?

Explanation / Answer

5 a) Yes, as our confidence interval does not contain 27 as probable value

b)yes,  as our confidence interval does not contain 7 as probable value

c)yes

as our confidence interval does not contain -23 as probable value

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