Answer:
The correct answer is option 2.
Step-by-step explanation:
In this case we need to test whether young men nationwide have a mean score below 275 in the National Assessment of Educational Progress math assessment.
The hypothesis is defined as follows:
<em>H₀</em>: <em>μ</em> = 275 vs. <em>Hₐ</em>: <em>μ</em> < 275
The significance level of the test is <em>α</em> = 0.05.
The <em>p</em>-value of the test is computed as, <em>p</em>-value = 0.20.
Decision rule:
A small <em>p</em>-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (<em>H₀</em>), so you discard the null hypothesis.
A large <em>p</em>-value (> 0.05) specifies fragile proof against the null hypothesis, so you fail to discard the null hypothesis.
<em>p</em>-value = 0.20 > <em>α</em> = 0.05.
The null hypothesis was failed to rejected at 5% level of significance.
Thus, it can be concluded that there is not enough evidence to conclude that the mean score is less than 275 for young men nationwide.
Thus, the correct answer is option 2.
