8. (20 points) Two California school districts are tested for California English Language Development test, to ensure that all elementary age students whose native language is not English become proficient in English by the sixed grade. The results are given in the table. Do the data indicate a significant difference in the proportions of students who are fluent in English for the two districts? District Riverside Palm Springs Number of students tested 6124 5512 Percentage fluent 40 37 A. Formulate the null and alternative hypothesis and test it using a=0.02 B. What is the p-value of the test (or range of the p-value)? C. Construct the 98% Cl of the difference of the proportion of fluent tests among all Riverside students and proportion of fluent tests among all Palm Springs students. D. Does your confidence interval in part C include 0? If yes, should you conclude you fail to reject the null as stated in part A? If no, should you conclude you reject the null as stated in part A? Why