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Mandrake is interested in evaluating the course s effectiveness in propagating safety in the laboratories During regular lab classes lab instructors have recorded harmful lab incidents accidents misuse of lab equipment etc The school is looking at the data and examining two variables laboratory performance involved in no incident involved in exactly one incident or involved in 2 incidents and status regarding lab techniques course took the techniques course or didn t take the techniques course The contingency table below gives a summary of the data that have been gathered so far In each of the 6 cells of the table are three numbers the first number is the observed cell frequency the second number is the expected cell frequency v under the assumption that there is no relationship between students laboratory performances and whether or not they took the techniques course and the third number is the following value fo Se Observed cell frequency Expected cell frequency Expected cell frequency The numbers labeled Total are totals for observed frequency Part 1 Fill in the missing values in the contingency table Round your expected frequencies to two or more decimal places and round your Jo JE values to three or more decimal places JE Send data to Excel Status regarding lab techniques course Took the techniques course Didn t take the techniques course Total 0 Laboratory performance Involved in 2 incidents Involved in no incident 45 10 0 59 0 0 104 a Determine the type of test statistic to use Type of test statistic Choose one Involved in exactly one incident 17 0 0 40 10 0 57 13 14 63 0 182 26 24 38 0 108 39 Total 75 125 200 Part 2 Answer the following to summarize the test of the hypothesis that there is no relationship between students laboratory performances and whether or not they took the techniques course For your test use the 0 10 level of significance b Find the value of the test statistic Round to two or more decimal places c Find the critical value for a test at the 0 10 level of significance Round to two or more decimal places X d Can Mandrake conclude that there is a relationship between students laboratory performances and whether or not they took the techniques course Use the 0 10 level of significance Yes O No 5 X

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