Suppose you have a dataset with the following summary statistics: n = 500 and p? = 0.43. Also suppose a 95% confidence interval is constructed from the summary statistics. If you realize that the sample proportion was supposed to be 0.33 and not 0.43, how would your confidence interval change? (Choose all that apply.) 

A. Its center would increase.

B. Its center would decrease.

C. It would be wider. 

D. It would be narrower. 

E. It would have the same width.