Answer:
The correct option is (A).
Step-by-step explanation:
The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.
A small p-value (typically p < 0.05) specifies strong evidence against the null hypothesis (H₀), so the null hypothesis is rejected. A p-value less than 0.05 is considered as statistically significant.
A large p-value (p > 0.05) specifies fragile proof against the H₀, so the null hypothesis is failed to be rejected.
In this case the <em>p</em>-value of the test is,
<em>p</em>-value = 0.003
And the significance level of the test was,
<em>α</em> = 0.05.
p-value = 0.003 < <em>α</em> = 0.05.
The p-value less than the significance level of the test.
Thus, the results are statistically significant.
The correct option is (A).
