Survey asked 286 married men and 307 single men if they regularly watch do-it-yourself house design tv shows. of those men surveyed, 157 married men and 102 single men responded positively. find the lower bound of the 90% confidence interval for the difference in population proportions of married men who regularly watch do-it-yourself house design tv shows and single men who regularly watch do-it-yourself house design tv shows. let the married men be sample 1 and let the single men be sample 2. assume that the samples are independent. enter your answer as a decimal rounded to three decimal places.