Mandrake Falls High School is providing a weekend course in laboratory techniques to its laboratory students. Of the 200 students enrolled in lab classes at Mandrake, 78 have taken the weekend course. Mandrake is evaluating the course's effectiveness by having its lab instructors record harmful lab "incidents": accidents, misuse of lab equipment, etc. The contingency table below gives a summary of the data that have been gathered so far for Mandrake's 200 lab students. Each student is classified according to two variables: status regarding lab techniques course ("Took the course" or "Didn't take the course") and laboratory performance ("Involved in no incident", "Involved in exactly one incident", or "Involved in 2+ incidents"). In the cells of the table are the respective observed frequencies. Note that three of the cells also have blanks. Fill in these blanks with the frequencies expected if the two variables, status regarding lab techniques course and laboratory performance, are independent. Round your answers to two or more decimal places. Laboratory performance Involved in Involved in no Involved in 2+ exactly one Total incident incidents incident 43 18 17 Took the 78 techniques course Status regarding lab techniques 56 40 26 Didn't take the 122 course techniques course Total 99 58 43 200
Mandrake Falls High School is providing a weekend course in laboratory techniques to its laboratory students. Of the 200 students enrolled in lab classes at Mandrake, 78 have taken the weekend course. Mandrake is evaluating the course's effectiveness by having its lab instructors record harmful lab "incidents": accidents, misuse of lab equipment, etc. The contingency table below gives a summary of the data that have been gathered so far for Mandrake's 200 lab students. Each student is classified according to two variables: status regarding lab techniques course ("Took the course" or "Didn't take the course") and laboratory performance ("Involved in no incident", "Involved in exactly one incident", or "Involved in 2+ incidents"). In the cells of the table are the respective observed frequencies. Note that three of the cells also have blanks. Fill in these blanks with the frequencies expected if the two variables, status regarding lab techniques course and laboratory performance, are independent. Round your answers to two or more decimal places. Laboratory performance Involved in Involved in no Involved in 2+ exactly one Total incident incidents incident 43 18 17 Took the 78 techniques course Status regarding lab techniques 56 40 26 Didn't take the 122 course techniques course Total 99 58 43 200
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text:Mandrake Falls High School is providing a weekend course in laboratory techniques to its laboratory students. Of the 200 students enrolled in lab classes at
Mandrake, 78 have taken the weekend course. Mandrake is evaluating the course's effectiveness by having its lab instructors record harmful lab "incidents":
accidents, misuse of lab equipment, etc. The contingency table below gives a summary of the data that have been gathered so far for Mandrake's 200 lab
students. Each student is classified according to two variables: status regarding lab techniques course ("Took the course" or "Didn't take the course") and
laboratory performance ("Involved in no incident", "Involved in exactly one incident", or "Involved in 2+ incidents"). In the cells of the table are the respective
observed frequencies. Note that three of the cells also have blanks. Fill in these blanks with the frequencies expected if the two variables, status regarding lab
techniques course and laboratory performance, are independent.
Round your answers to two or more decimal places.
Laboratory performance
Involved in
Involved in no
Involved in 2+
exactly one
Total
incident
incidents
incident
43
18
17
Took the
78
techniques course
Status regarding
lab techniques
56
40
26
Didn't take the
122
course
techniques course
Total
99
58
43
200
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