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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.

Send data to Excel

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