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A professor at a large university would like to know the proportion of freshmen students who experience test anxiety. He chooses a simple random sample on $50$ freshmen students and $100$ freshmen students and finds that each group has the same proportion who experience test anxiety. Using his data, the professor decides to construct a confidence interval to find the overall proportion of freshmen students who experience text anxiety. Which of the following would result in the widest confidence interval?

A

$95\%$ confidence level and sample size of $50$

B

$95\%$ confidence level and sample size of $100$

C

$99\%$ confidence level and sample size of $50$

D

$99\%$ confidence level and sample size of $100$

E

$99\%$ confidence level and sample size of $200$

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