Pew Research, in November 2011, polled a random sample of 799 U.S. teens about Internet use. 49% of those teens reported that they had misrepresented their age online to gain access to websites and online services.
a) Explain the meaning of p̂ = 0.49 in the context of this situation.
b) Calculate the standard error of p̂.
c) Explain what this standard error means in the context of this situation.