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Later in the course youre going to see the formula for a pooled proportion. This is P-hat 1 n1 plus P-hat 2 n2 over n1 plus n2. Lets look at an example where we say that P-hat1 is equal to 0.6, n1 is equal to 50, P-hat2 is equal to 0.7 and n2 is equal to 40. Well start by plugging these values into our equation. In the numerator, so the top of the fraction, we have 0.6 times 50 plus 0.7 times 40 divided by 50 plus 40. Well start in the numerator, with doing the multiplication. 0.6 times 50 equals 30. 0.7 times 40 equals 28. And now well go back to the numerator and denominator and well do the addition. In the numerator, 30 plus 28 equals 58, and in the denominator 50 plus 40 equals 90. Now we can plug this into our calculator to find that this equals 0.6444