Question

A test of the null hypothesis Ho:U = Uo gives test statistic z = 0.53. (Round your answers to four decimal places.)

(a) What is the P-value if the alternative is Ha: U > Uo? _______

(b) What is the P-value if the alternative is Ha: U<Uo? _______

c) What is the P-value if the alternative is Ha: U = or not equal to Uo?

Answer 1

The P-value for the given test statistics at different Hypothesis is calculated using Z table shown below as

a) P-value if the alternative is Ha: U > Uo , It is a right tailed test hence the value to the right of the Z value in the bell curve is the P-value

=0.2981

b)  P-value if the alternative is Ha: U<Uo, It is left tail test hence the area to the left of the test statistic on the bell curve is the P-value

=0.7019

c) P-value if the alternative is Ha: U = or not equal to Uo, It is a two tailed test.

=0.5961

The Z table used is