Question

(A)Find the P - value for the test statistic ?=−1.41 for the following null and alternative hypotheses:
?0: The population mean is 50.
??: The population mean is less than 50.

the p-value is-

(B) Find the P - value for the test statistic ?=−1.41 for the following null and alternative hypotheses:
?0: The population mean is 50.
??: The population mean is not equal to 50.

the p-value is-

Answer 1

a

this is the left tailed test .  

The null and alternative hypothesis is ,

H0 :   = 50

Ha : < 50

Test statistic = z=-1.41

P(z < -1.41 ) = 0.0793 using z table

P-value =0.0793

b

this is the two tailed test .  

The null and alternative hypothesis is ,

H0 :   = 50

Ha : 50

Test statistic = z=-1.41

P(z < -1.41 ) = 0.0793 using z table

P-value =2*0.0793=0.1586

p value if we rounded 2 deciamal so answer is 0.16