H.2. In a Christmas tree survey respondents who had a tree during the holiday season were asked whether the tree was natural or artificial. Respondents were also asked if they lived in an urban area or in a rural area. Of the 421 households displaying a Christmas tree, 160 lived in rural areas and 261 were urban residents. The tree growers want to know if there is a difference in preference for natural trees versus artificial trees between urban and rural households. Here are the data: Population n Natural X-tree Rural 160 64 Urban 261 89 a Give the null and alternative hypotheses that are appropriate for this problem. b. Test the null hypothesis. Give the test statistic and the P-value, and summarize the results. C. Give a 90% confidence interval for the difference in proportions