Suppose that 60\%60%60, percent of adults in district A support a new ballot measure, while 45\%45%45, percent of adults in dist
rict B support the same measure. Pollsters take an SRS of 200200200 adults from district A and a separate SRS of 100100100 adults from district B to see the difference between the sample proportions (\hat{p}_\text{A}-\hat{p}_\text{B})( p ^ A − p ^ B )left parenthesis, p, with, hat, on top, start subscript, start text, A, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, B, end text, end subscript, right parenthesis. What will be the shape of the sampling distribution of \hat{p}_\text{A}-\hat{p}_\text{B} p ^ A − p ^ B p, with, hat, on top, start subscript, start text, A, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, B, end text, end subscript, and why?
