
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
During a shift, 15 components failed in device 1, which consists of 800 components, and 25 components failed in device 2, which consists of 1000 components. At a significance level $\alpha=0.05$, test the null hypothesis $H_{0}: p_{1}=p_{2}=p$ that the failure probabilities of the components in both devices are equal against the alternative hypothesis $H_{1}: p_{1} \neq p_{2}$.

Present the answer in LaTex format: \boxed{Your answer}
user