A marketing team conduct A/B test to compare the effectiveness of two different AD campaigns on click-through rates. Campaign A is shown to 500 people, resulting in 130 clicks, while campaign B is shown to 400 people, resulting in 100 clicks. (A) Find the sample proportions for each campaign. (B) Determine the null and alternative hypotheses for this two-sample test for proportions. (C) Find the pooled sample proportion. Round your result up to 4 decimal places. (D) Find the observed test statistic value. (E) Find the p-value with Find probably Shiny app or the Table B (F) Find 95% Confidence Interval for the Pa - Pb Please answer all questions (A) through (F). Please ensure completeness and fully details. Thank you!