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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

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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 X 5 ? Involved in no Involved in Involved in 2+ exactly one Total incident incidents Incident Took the 40 18 15 73 techniques course Status regarding lab techniques Didn't take the 59 44 24 127 course techniques course Total 99 62 39 200

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