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 Bryant s 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 Bryant 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 Response to Question 17 No Maybe Yes School of Social Sciences 49 57 146 Student s major school School of Engineering 21 32 74 School of Physical Sciences 35 0 15 71 Total 105 104 291 X S