According to a Pew Research Center poll, 70% of the 487 randomly selected adults aged 18-32 favor allowing gay and lesbian couples to marry legally compared to 49% of the 833 randomly selected adults of all ages that favor such legalization, a difference of 21%. To compute the likelihood that you'd see such a difference or more just due to the luck of the draw, you first need to calculate the SE of the 2 samples a. In the young adult poll 70% favored gay marriage Calaulcte the SE for this percentage. Round your answer to 2 decimal places (Hint: first compute the SD of the box by estimating it to have 70% 1's) Submit Answer Tries 0/3 b. In the all adult poll 49% favored gay marriage. Calaucte the SE for this percentage. Round your answer to 2 decimal places Submit AnswerTries 0/3 C. The difference is 21%. Calculate the SE for this difference (Use your previously rounded answers for the SE's given above, and round the SE for the difference to 2 decimal places.) Submit AnswerTries 0/3 d. What is the value of the test statistic z?