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. 2. The student researchers plan to answer a research question about student preference among the three brands of cookies. a) Write the null and alternative hypothesis to test whether their claim that the Girl Scout cookies are preferred at a higher rate compared to the other brands. The randomization distribution fro 200 samples, given the mean is 0.333 and the standard error is 0.055. b) What is the observed sample statistic of the original sample? c) the p-value is 0.085 and interpret the meaning of the p-value in context. d) Based on the statistician's results, what decision and what conclusion would the statistician make for their investigation assuming the significant level is 0.05? Explain