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 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? (a) Suppose you test a new medication and reject the null hypothesis (you conclude it works). What kind of error could you have made? (b) Again, you test a new medication and conclude it does not work (you fail to reject the null hypothesis). What kind of error could you have made?

Explanation / Answer

5)

a) If the population mean is lies between confidence interval then we do not reject the null hypothesis

Here 95% confidence interval is ( 10 ,22) and mu=27 so here mu=27 it does lie between confidence interval

So we reject the Null hypothesis.

b)

Confidence interval is ( -3,6 ) and mu=7 so here mu is not lie in this confidence interval so we reject the null hypothesis.

c)

confidence interval ( -34, -28 ) and mu= -23 so here mu is not lie in this confidence interval so we reject the null hypothesis.

6)

a)

Here reject the null hypothesis , tytp 1 error made here.

Type 1 error = reject null hypothesis when H0 is true

b)

Here type 2 error made because here fail to reject H0

Type 2 error = Faill to reject null hypothesis when H0 is false.

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.