Mandrake Falls High School is losing a lot of money through its school laboratories. Accidents and misuse of equipment by students are taking their toll on laboratory supplies. In an attempt to remedy...

Mandrake Falls High School is losing a lot of money through its school laboratories. Accidents and misuse of equipment by students are taking their toll on laboratory supplies. In an attempt to remedy this, Mandrake is experimenting with a weekend course in laboratory techniques. For the time being, lack of resources allow only a portion of Mandrake's lab students to take the weekend course: of the 200 students enrolled in lab classes at Mandrake, only 72 have been able to take the weekend course. Mandrake is interested in evaluating the course's effectiveness in propagating safety in the laboratories. During regular lab classes, lab instructors are recording harmful lab incidents: accidents, misuse of lab equipment, etc.

The high school is looking at the data and examining two variables:laboratory performance ("involved in no incident", "involved in exactly one incident", or "involved in 2+ incidents") andstatus regarding lab techniques course ("took the techniques course" or "didn't take the techniques course").

The contingency table below gives a summary of the data that have been gathered so far. In each of the

 cells of the table are three numbers: the first number is the observed cell frequency (fO); the second number is the expected cell frequency (fE) under the assumption that there is no relationship between students'laboratory performances and whether or not they took the techniques course; and the third number is the following value.

Extracted text: (fo-fa) Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your values to fE three or more decimal places. Send data to Excel Laboratory performance Involved in Involved in Involved in exactly one incident Total no incident 2+ incidents 31 28 13 Took the techniques 34.92 22.68 14.40 72 course Status 0.136 regarding lab 66 35 27 Didn't take techniques the course 62.08 40.32 25.60 128 techniques course 0.077 Total 97 63 40 200