Many people think that "Artificial intelligence will widen the gap between the rich and poor." A researcher is interested in the opinions of UCLA students regarding this matter. The researcher's team hires you to help them with the statistics part of the study.

Suppose the researcher's team was able to collect a random sample of 500 UCLA students and found that 69% of the sample agreed with the statement "Artificial intelligence will widen the gap between the rich and poor." Conduct a 95% confidence interval and interpret the results to the researcher. Show your work.