Casey and Tatum are each interested in learning more about how satisfied OSU students are with different dining options on campus.Both Casey and Tatum use the same survey instrument to gather their data. Casey surveys a random sample of 150 OSU students about their satisfaction with dining options, and Tatum surveys a random sample of 500 OSU students. If Casey and Tatum each attempt to estimate a margin of error for their respective samples, who will have the larger margin of error?

Group of answer choices

A. Casey because his sample is smaller than Tatum's sample.

B. Tatum because her sample is larger than Casey's sample.

C. Casey and Tatum will each have exactly the same margin of error since they are both sampling from the same population.

D. Casey and Tatum will each have exactly the same margin of error since they are both using the same survey instrument.

E. Both C and D are correct answers.