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A random sample of $50\text{ professional athletes}$ were asked: "Would you use steroids to improve performance?" A $95\%$ confidence interval was constructed from the data to find the proportion of athletes who would use steroids to improve performance. The resulting interval is $(0.44,0.53)$.

Which of the following statements is true?

A

Between $44\%$ to $53\%$ of all athletes would use steroids to improve performance.

B

We are $95\%$ confident that in this particular sample of athletes, $44\%$ to $53\%$ would use steroids to improve performance.

C

We are $95\%$ confident that the true proportion of all athletes that would use steroids to improve performance is between $44\%$ to $53\%$.

D

In $95\%$ of all surveys, between $44\%$ to $53\%$ of all athletes report they would do steroids to improve performance.

E

In $95\%$ of all surveys, we would capture the sample proportion of athletes who would use steroids to improve performance.

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