Fill in the missing values in the contingency table. Rou

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 75 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") and status 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 6 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.

Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your
values to 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
42
26
7
Took the
techniques
22.50
75
course
Status
0.544
regarding
lab
60
34
31
Didn't take
techniques
the
course
37.50
125
techniques
course
0.327
Total
102
60
38
200
Transcribed Image Text:Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your values to 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 42 26 7 Took the techniques 22.50 75 course Status 0.544 regarding lab 60 34 31 Didn't take techniques the course 37.50 125 techniques course 0.327 Total 102 60 38 200
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