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?
(A) Yes, all conditions for inference are met.
(B) No, although the random and large counts conditions are met, the 10% condition is not met.
(C) No, although the random and 10% conditions are met, the large counts condition is not met.
(D) No, there are two conditions for inference that are not met.
(E) No, none of the conditions for inference are met.