a raido show host asked people to call in and wheater they support new legislation to promote cleaner sources of energy. based on this sample, she constructed a confidence interval to estimate the proportion of all listners to her show who support the legislation. is the confidence interval to likely to give a good estimated of the proportion of her listners who support the legiislation?

As long as the estimate is only generalized to her listeners, rather than trying to generalize to the population as a whole, it would be a good estimate.