Question

What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=0.27? (Do not round your answer; compute your answer using a value from the table below.)

z0.10.20.30.40.50.000.5400.5790.6180.6550.6910.010.5440.5830.6220.6590.6950.020.5480.5870.6260.6630.6980.030.5520.5910.6290.6660.7020.040.5560.5950.6330.6700.7050.050.5600.5990.6370.6740.7090.060.5640.6030.6410.6770.7120.070.5670.6060.6440.6810.7160.080.5710.6100.6480.6840.7190.090.5750.6140.6520.6880.722

Answer 1

Solution:

Given:

Test statistic :

z₀ = 0.27

Two tailed test hypothesis test for mean.

Thus P-value is given by:

P-value = 2 X P( Z > z test statistic value)

P-value = 2 X P( Z > 0.27)

P-value = 2 X [ 1 - P( Z < 0.27) ]

Look in z table for z = 0.2 and 0.07 and find corresponding area.

P( Z< 0.27) = 0.6064

Thus

P-value = 2 X [ 1 - P( Z < 0.27) ]

P-value = 2 X 0.3936

P-value = 0.7872