The necessary conditions having been met, a two-tailed test is being conducted to test the difference between two population proportions. If the value of the test statistic is 2.05, what is the p-value?
A) 0.4798
B) 0.2399
C) 0.0404
D) 0.0202

Question

Quizplus · Accepted Answer

In a two-tailed test, the p-value is the probability of observing a test statistic as extreme as the one calculated or more extreme in either direction. Since the test statistic is positive, we need to double the area to the right of the test statistic to get the p-value for the right-tailed test. Using a standard normal distribution table or calculator, we find this area to be 0.0404. Doubling this value gives us the final p-value of 0.0808, but since we are conducting a two-tailed test, we divide the p-value by 2 to get the final answer of 0.0404.

The Necessary Conditions Having Been Met, a Two-Tailed Test Is