Question: A tech company has designed a new artificial intelligence that solves complex math problems, and challenges a group of leading mathematicians to beat their AI

A tech company has designed a new artificial intelligence that solves complex math problems, and challenges a group of leading mathematicians to beat their AI at solving several challenging problems. At the competition, the AIs and mathematicians must solve as many problems as they can in under an hour. The AIs successfully solve 0.12 of 35 problems provided, and the mathematicians successfully solve 0.25 of 26 problems provided. The AIs were beaten, but the tech company wonders if the difference was statistically significant. Assuming the samples are independent, calculate the standard error of the estimate of the true difference in proportions for all such AIs and mathematicians.

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