Calculate the pvalue for the following conditions and determ

Calculate the p-value for the following conditions and determine whether to reject the null hypothesis:

a.one-tail test, Zx? =2.15, and ? = 0.10

b. one-tail test (upper), Zx? =-0.66, and ? = 0.05

c. two-tail test (lower), Zx? =-1.69, and ? = 0.05

d. two-tail test, Zx? =1.44, and ? = 0.02

Solution

Lower-Tailed Test

a

Z

0.10

-1.282

0.05

-1.645

0.025

-1.960

0.010

-2.326

0.005

-2.576

0.001

-3.090

0.0001

-3.719

Upper-Tailed Test

Z

0.10

1.282

0.05

1.645

0.025

1.960

0.010

2.326

0.005

2.576

0.001

3.090

0.0001

3.719

Two-Tailed Test

Z

0.20

1.282

0.10

1.645

0.05

1.960

0.010

2.576

0.001

3.291

0.0001

3.819

FROM the above tables

for one tailed upper Z>=Zcriticalvalue reject Ho

for one tailed lower Z<=Zcriticalvalue reject Ho

for two tailed Z>=Zcriticalvalue or Z<=Zcriticalvalue reject Ho

from this it is clear that In a and c Ho is rejected and In B and D Ho is not rejected.

Lower-Tailed Test
a	Z
0.10	-1.282
0.05	-1.645
0.025	-1.960
0.010	-2.326
0.005	-2.576
0.001	-3.090
0.0001	-3.719