Calculate the central 95% confidence intervals and the p-values for the followin

Question

Calculate the central 95% confidence intervals and the p-values for the following scenarios. Make sure you use a one-sample z-procedure for all of these parts. Thus, this part gives you practice on performing the basic calculations. For each answer, just provide the endpoints of the confidence interval and the p-value. The first is done for you so you can see this and check that you are getting the right answer.

Example

0: confidence level = 95%; = 1; x = 4; n = 10; H0: = 5

Ans: confidence interval = ( 3.380205, 4.619795 ) p = 0.001565402

Your turn: a:

confidence level = 95%

= 1.00

x = 3

n = 50

H0: = 3.50

b:

confidence level = 95%

= 1.60

x = 6

n = 10

H0: = 5.10

c:

confidence level = 95%

= 0.15

x = 1

n = 30

H0: = 0.75

d:

confidence level = 90%

= 3.10

x = 0

n = 50

H0: = 0.15

e:

confidence level = 90%

= 1.05

x = -1

n = 100

H0: = 0.00

Your turn: a:

confidence level = 95%

= 1.00

x = 3

n = 50

H0: = 3.50

b:

confidence level = 95%

= 1.60

x = 6

n = 10

H0: = 5.10

c:

confidence level = 95%

= 0.15

x = 1

n = 30

H0: = 0.75

d:

confidence level = 90%

= 3.10

x = 0

n = 50

H0: = 0.15

e:

confidence level = 90%

= 1.05

x = -1

n = 100

H0: = 0.00

Explanation / Answer

a) confidence interval =  ( 2.722819, 3.277181)        p =0.0004

b) confidence interval =  ( 5.008329, 6.991671)        p =0.0753

c) confidence interval =  (0.9463242, 1.053676)        p = 0.000

d) confidence interval = (-0.7211133, 0.7211133)        p = 0.7322

e) confidence interval =  (-1.172709, -0.8272905)        p = 0.0000

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