Confidence Intervals for Population Proportion: Videos & Practice Problems

A local radio station conducted an online poll asking listeners whether they believe the city should ban fireworks. Out of $850$ respondents, $765$ said the city should not ban fireworks, while $85$ said it should.
(1) Construct a $95\%$ confidence interval estimate for the proportion of the population that believes the city should not ban fireworks.
(2) Based on your confidence interval, can you conclude that the majority of the population does not support a fireworks ban?
(3) Identify a flaw in this survey and explain what can actually be inferred about the population.