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A reporter surveyed $100$ randomly selected adult women and asked them how much they spend on clothes every year, then constructed a $90\%$ confidence interval based off the data.

If the reporter instead asked $1{,}000$ randomly selected women the same question, the new $90\%$ confidence interval

A

Would be centered higher than the confidence interval constructed of only $100\text{ subjects}$.

B

Would have a smaller margin of error, but only if the confidence is increased.

C

Would have a smaller margin of error since larger samples have less variability.

D

Would have a greater margin of error since there would be a larger variety of opinions.

E