Describe the population of interest and explain in words what p is and give the numerical value of the sample proportion. Also, determine whether each of the conditions is met for calculating a confidence interval for the population proportion, p.

Lucy wants to estimate what proportion of the students in her college dorm like the dorm food. She interviews an SRS of 50 of the 175 students living in the dorm. She finds that 14 think the dorm food is good.