Find the Pvalue for the indicated hypothesis test with the g
Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject
Upper H 0
for the given level of significance
alpha .
Two-tailed test with test statistic
z=negative 1.51
and
alpha =0.1
pvalue =
round to four decimal places
Solution
Given that no distribution is provided, we assume a normal distribution.
z=-1.51, alpha = 0.1.
The test is a two tailed test.
p-value = p(z<-1.51 or z>1.51)
=2*p(z>1.51)
=2*(1-p(z<1.51))
From normal distribution table, p(z<1.51) = 0.9345
Therefore, pvalue = 2*(1-0.9345) = 0.1310
As alpha = 0.1, which is less than the p value, we accept the null hypothesis.
