In a recent survey, 25 out of 55 randomly selected respondents said they believe in the existence of extraterrestrials.
a. Use this information to compute a 95% confidence interval for the population proportion of people who believe in the existence of extraterrestrials. Please clearly show that you checked to make sure the data meet all necessary conditions for inference.
b. Interpret the meaning of the confidence interval you found in part a in the context of this application.