Prof. Sanders has decided to undertake a careful analysis of her evaluations by students from the past few years. A matter of concern to her is how she is viewed by students of different majors. She's decided to look at Question 17 on the teacher evaluation form, which reads, "Would you recommend this professor to another student?" Each of Prof. Sanders' students can be placed into one of three categories according to the student's major school, as shown in the contingency table below. (Students who have majors from more than one school are not included.) This table contains a summary of the data that Prof. Sanders has collected for 500 of her students. Each of the 500 students is classified according to two variables: major school ("School of Social Science", "School of Engineering", or "School of Physical Sciences") and response to Question 17 ("No", "Maybe", or "Yes"). In the cells of the table are written the respective observed frequencies. In addition, three of the cells have blanks beneath the observed frequencies. Fill in these blanks with the frequencies expected if the two variables, response to Question 17 and student's major school, are independent. Round your answers to two or more decimal places. Send data to Excel Student's major school X School of Social School of School of Engineering Physical Total Sciences Sciences 24 36 "No" 103 53 18 Response to "Maybe" 104 Question 17 "Yes" 135 79 79 293 Total 231 136 133 500