In 2011 Pew research asked a random sample of 799 U.S. teens about their internet use, and 49% of those teens reported that they had misrepresented their age online in order to gain access to websites or online services.
a) Pew also gave a 95% confidence interval, placing this proportion between 45.6% and 52.5% explain what 95% confidence interval means in this context.
b) How many people would need to be surveyed for a 95% confidence interval to ensure that the margin of error is 3% or less?