Power is 80% (β= 0.2), 10% significance level (α=0.1)  Assuming a difference of 25%. The success rate for the control group is 50%, and the expected success for the Surgery group is 75%. Assume equal allocation. That is 1:1 randomization. Compute the sample size needed to test the equality of proportion. This is all I need to know...

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Power is 80% (β= 0.2), 10% significance level (α=0.1) 

Assuming a difference of 25%. The success rate for the control group is 50%, and the expected success for the Surgery group is 75%. Assume equal allocation. That is 1:1 randomization. Compute the sample size needed to test the equality of proportion.
This is all I need to know...
I know that the sub alpha is 1.65. However, I am at a loss if the sub beta is 0.8, 0.84, or 1.282. 

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