A question on a youth survey was "How well do you get along with your parents?" The survey showed that 54% of the randomly selected teenagers said they get along "very well." The reported margin of error was 5%. Construct the interval that we would expect to cover the true population value. (This interval is the confidence interval for the population percent who get along well.) Based on your calculated interval, is it reasonable to infer that the majority of teenagers get along "very well" with their parents?
- No, it is not reasonable to infer that the majority get along well since the confidence interval contains values of 50% and below.
- Yes, it is reasonable to infer that the majority get along well since most of the values in the interval are above 50%.
- Yes, it is reasonable to infer that the majority get along well since the sample percent is 54% which is a majority.