Final answer:
A patch is an update to a program that fixes issues, and a p-value of 0.0067 indicates there is enough evidence to reject the null hypothesis and conclude that the patch is effective in reducing system failures.
Step-by-step explanation:
A patch is typically a set of changes to a computer program designed to update, fix or improve it. This includes fixing security vulnerabilities and other bugs, and improving the usability or performance. The statistics represented by a p-value of 0.0067 indicate that the patch has a significant effect. In this context, the p-value helps us determine the effectiveness of the patch.
If we use a common alpha level of 0.05 (which is a 5% chance of rejecting the null hypothesis when it's actually true), a p-value of 0.0067 is much smaller than 0.05. Hence, we can confidently reject the null hypothesis, suggesting that the patch is effective in reducing the number of system failures significantly. This demonstrates that there is sufficient evidence to support the patch's effectiveness.