The standard medication for a certain ailment is known to give relief to 60% of sufferers. A new drug has been developed which is claimed to be better than the standard medication. A random sample of 50 patients is given the new drug and 35 of them obtain relief. What is the P-value for the test of H0: the new drug is the same as the standard versus H1: the new drug is better than the standard is, using a normal approximation with continuity correction?

I know that you need to add 0.5 to the X for the continuity correction part but how do you actually solve this without knowing the SD?

Thanks a lot