Amy wants to find the difference \[\hat p_\text{Green} - \hat p_\text{Pink}\] in the proportions of green and pink balloons in packages of assorted balloons. Each package has \[100\] balloons in \[6\] colors. She randomly selects a package, calculates the proportion of green balloons and the proportion of pink balloons in the package, then finds the difference between the proportions. She repeats this process until she has selected \[50\] packages to build a sampling distribution. Consider the formula: \[\sigma_{\hat{p}_\text{A}-\hat{p}_\text{B}}=\sqrt{\dfrac{p_\text{A}\left(1-p_\text{A}\right)}{n_\text{A}}+\dfrac{p_\text{B}\left(1-p_\text{B}\right)}{n_\text{B}}}\] Why is it not appropriate for Amy to use this formula for the standard deviation of \[\hat{p}_\text{Green}-\hat{p}_\text{Pink}\]? Choose 1 answer: Choose 1 answer: (Choice A) The samples are not independent of each other. A The samples are not independent of each other. (Choice B) We cannot assume independence for the packages sampled from which Amy calculated the proportion of pink balloons. B We cannot assume independence for the packages sampled from which Amy calculated the proportion of pink balloons. (Choice C) We cannot assume independence for the packages sampled from which Amy calculated the proportion of green balloons. C We cannot assume independence for the packages sampled from which Amy calculated the proportion of green balloons.