There are 2 hats. Each hat contains red balls and blue balls. The first hat contains 9875 balls. The second hat contains 11,375 balls. A random sample is chosen from the first hat. This sample contains 56 red balls and 89 blue balls. A random sample is chosen from the second hat. This sample contains 74 red balls and 85 blue balls. At a 1% significance level, use the p-value method to test the claim that the percentage of red balls in the first hat is not equal to the percentage of red balls in the second hat. Please try to show as much work as possible. Thanks.
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