A student would like to estimate the proportion of the senior class that plans to attend prom this year. The student goes to the guidance office and gets a list of the names of all 274 seniors. Using the list, she selects a simple random sample of 50 students and finds that 76% of the selected students plan to attend prom this year. She would like to construct a 95% confidence interval for the proportion of the entire senior class that plans to attend prom this year. Are the conditions for inference met