How many times do we have to flip a balanced coin to be able to assert the probability of at most .01 that the difference between the proportion of tails and .50 will be at least .04?

Question

How many times do we have to flip a balanced coin to be able to assert the probability of at most .01 that the difference between  the proportion of tails and .50 will be at least .04?

anonymous · Answer

I'm a bit confused on how I go about solving this one using chebyshevs theorem,
probably because I'm unsure of how to break each part of the word problem out. 
So far I know I'm trying to find the number of flips of a coin
to be used with the given probabilities.I also know that the difference between the proportion of landing a tails 
is at least .04 but not greater than .01, and .50 I'm assuming is the number 
of chances it could be heads (or did I get this wrong?)