Answer:
We fail to reject H₀.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Step-by-step explanation:
The hypothesis for the statistical test is defined as follows:
<em>H</em>₀ : <em>μ </em>=25 vs. <em>Hₐ</em> : <em>μ </em>> 25
The test statistic value is, <em>z</em>₀ = 0.22.
The <em>p</em>-value of the test is, <em>p</em>-value = 0.41.
The significance level is, <em>α</em> = 0.05.
The <em>p</em>-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 truly observed.
A small <em>p</em>-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.
A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
Here, <em>p</em>-value = 0.41 > <em>α</em> = 0.05.
The null hypothesis was failed to be rejected at 5% level of significance.
Conclusion:
There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
