Assume we are conducting a hypothesis test at the 5% significance level.
Find the p-value for a left-tailed test if z0= -1.92. Is there enough evidence to reject the
null hypothesis?
Find the p-value for a right-tailed test if z0= 2.53. Is there enough evidence to reject the
null hypothesis?
Find the p-value for a two-tailed test if z0= -2.91. Is there enough evidence to reject the
null hypothesis?
Find the p-value for a two-tailed test if z0= 2.88. Is there enough evidence to reject the
null hypothesis?
Answer)
A)
From z table, P(z<-1.92) = 0.0274
As the obtained p-value is less than 5% (0.05)
We reject the null hypothesis Ho
There is enough evidence to reject the null hypothesis
B)
P(z>2.53) = 0.0057
As p-value < 0.05
There is enough evidence to reject the null hypothesis
C)
P(z<-2.91) = 0.0018
As the test is two tailed
P-value = 2*0.0018 = 0.0036
As 0.0036 < 0.05
There is enough evidence to reject the null hypothesis.
D)
From z table, P(z>2.88) = 0.002
As the test is two tailed
P-value = 2*0.002 = 0.004
As the obtained p-value is less than 0.05
We reject the null hypothesis
Get Answers For Free
Most questions answered within 1 hours.