Constructing Confidence intervals with Simulations The results of a recent study on American opinions about gun control are shown in the following table. 950 randomly selected US citizens were surveyed. We wish to estimate the difference in the proportion of women and men who support gun control. Support Gun Control Against Gun Control Total Females 382 68 450 Males 327 173 500 Total 709 241 950 Use Statkey and the appropriate simulation to construct a 95% confidence interval for the difference in th proportion of women and men who support gun control. a) Will the simulation be a bootstrap distribution or a randomization distribution? b) What is the sample statistic? Write with proper notation and values rounded to three decimal places. c) Enter your data in Statkey and generate 1000 samples. What is the standard error you see on you simulation? d) Find the confidence interval. Show your work for credit and round to two decimal places. Use the formula 95% CI = sample statistic 2 (SE). e) Interpret your interval in context. f) Is it plausible that there is no difference in the proportion of women and men who support gun control? Explain.