. Advertisement .
..3..
. Advertisement .
..4..
Suppose we are testing Ho: p=.20 vs Ha: p<.20 and TS=2.34. What is the p-value?
0.0096
0.9904
0.0107
0.0192
0.9893
0.0214
Relevant knowledge:
The p-value is defined as the probability amount that the study provides enough statistical proof to support that hypothesis (null hypothesis) as claimed to be the case by researchers. It’s a method to draw the conclusion to draw from test of hypotheses. If the p value is low (less than the amount of significance) .The samples are said to provide sufficient evidence for the null hypothesis and the hypothesis is discarded.
Solution:
This is the left-tailed test.
Alternative hypothesis and the null hypothesis are
H : p = 0.20
H A: p > 0.20
Test statistic = z = 2.34
P(z > 2.34) = 1 – P(z < 2.34) = 1 – 0.9904
P-value = 0.0096