Student researchers wanted to know whether coconut-caramel cookies "dupe," or knockoffs, could measure up to the beloved Girl Scout Samoa cookies. The students taste Girl Scout Samoa cookies as well as Keebler Coconut Dreams and Benton's Caramel Coconut Fudge Cookies. Out of 72 subjects, 30 blindly chose Girl Scout Samoa cookies as their favorite. 1. The dot plot is a bootstrap distribution of proportion given a sample is 1000, the mean is 0.417, and the standard error is 0.060. a) Determine the standard error of the bootstrap distribution and discuss its meaning. b) Use the bootstrap distribution to estimate the 95% confidence interval for the proportion of students who prefer Girl Scout Samoa cookies. c) Interpret the 95% confident interval from part b) in context. d) If we decrease the confidence level to 90%. What will happen to the interval? Explain