[18 points) You work for an agronomist that is interested in root lodging. He wants to make sure that the typical number of plants that are root lodged in a eld is not signicantly greater than 20 percent You, the intern, went into the eld last summer and counted the number of root lodged plants. Out of 200 plants, 46 of them were lodged. Is this signicantly greater than the 20 percent threshold? Use (\"50.05. a. [2 points) What are the null and alternative hypotheses? b. [3 points) Calculate the standard error. c. [2 points) What is the 2m, or rm, value? Show your code d. [3 points) What is the 27mm or rm\