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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 = 0.20H

_{A}: p > 0.20Test statistic = z = 2.34

P(z > 2.34) = 1 – P(z < 2.34) = 1 – 0.9904

P-value = 0.0096