I want to know if the simple random condition is met ?And how many success and faliures in the sample and if the condition is met?

2. In a recent survey, 30 out of 57 randomly selected respondents said they believe in the existence of extraterrestrials. a. Use this information to compute a 99% 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