Michgian State is trying to decide whether to add a series of vegan selections to their dining hall offerings. They surveyed 3000 students and found that 133 claimed to be on a strict began diet and another 178 claimed to frequently opt for vegan meals. With 95% confidence, what should you tell dining services is the most conservative estimate of the overall student population that are strict vegans? What is the most liberal estimate of students who will frequently order vegan fare?

I just want to make sure I have the correct answers

1 answer : 0.0513

2 and answer: 0.0366

Vegan rates

1. 0.067

2. 0.0505

Please let me know what you guys get