Math Problem Statement
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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 incident Involved in exactly one incident Involved in 2+ incidents Total Status regarding lab techniques course Took the techniques course 34
28 11
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
Probability
Contingency Tables
Independence of Events
Formulas
Expected Frequency = (Row Total × Column Total) / Grand Total
Theorems
Chi-Square Test for Independence
Suitable Grade Level
Grades 10-12
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