Calculate the? p-value for the following conditions and determine whether or not

Question

Calculate the? p-value for the following conditions and determine whether or not to reject the null hypothesis.

z Subscript x overbarzxequals=1.91.9?0,

alpha?equals=0.010.01

z Subscript x overbarzxequals=negative 2.55?2.55?,

alpha?equals=0.100.10

z Subscript x overbarzxequals=2.42.4?0,

alpha?equals=0.010.01

z Subscript x overbarzxequals=negative 1.82?1.82?,

alpha?equals=0.020.02

?a)? one-tail test,

z Subscript x overbarzxequals=1.91.9?0,

and

alpha?equals=0.010.01

?b)? one-tail test,

z Subscript x overbarzxequals=negative 2.55?2.55?,

and

alpha?equals=0.100.10

?c)? two-tail test,

z Subscript x overbarzxequals=2.42.4?0,

and

alpha?equals=0.010.01

?d)? two-tail test,

z Subscript x overbarzxequals=negative 1.82?1.82?,

and

alpha?equals=0.020.02

Explanation / Answer

a)

here for z =1.90 and two tailed test ; p value =0.0574

as p value is greater than 0.01 level ; fail to reject null hypothesis

b)

for z =-2.55 and one tailed test ; p value =0.0054

as p value is less than 0.1 level ; reject null hypothesis

c)

for z =2.40 and two tailed test ; p value =0.0164

as p value is greater than 0.01 level ; fail to reject null hypothesis

d)

for z =-1.82 and two tailed test ; p value =0.0688

as p value is greater than 0.02 level ; fail to reject null hypothesis

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