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Topic 7 Homework (Nonadaptive)
Question 12 of 16 (1 point)**|**Question Attempt: 4 of Unlimited
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Question 12
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,
73
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 the
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.
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Laboratory performance
Involved in no incidentInvolved in exactly one incidentInvolved in 2+ incidentsTotal
Status regarding lab techniques course
Took the techniques course
34
37.60
28
11
12.41
73
Didn't take the techniques course
69
35
23
127
Total
103
63
34
200
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Math Problem Analysis
Mathematical Concepts
Statistics
Contingency Tables
Independence in Probability
Formulas
Expected frequency = (Row total * Column total) / Grand total
Theorems
Independence of Variables
Suitable Grade Level
Grades 10-12
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