History Bookmarks Window Help 51% Thu 4:4 awww-awu.aleks.com C McGraw-Hill Campus - Introduction to Statistics MTH-107-... McGraw-Hill Education Campus ALEKS = O CHI-SQUARE TESTS. I STS. INFERENCES FOR REGRESSION, AND .. Chi-square test of independence Olivia v v Espanol Mandrake Falls High School is experimenting with a weekend course in laboratory techniques. Of the 200 students enrolled in lab classes at Mandrake, only 76 have been able to take the techniques course. 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 e incident", or "involved in 2+ incidents") and status regarding lab techniques course ("took the techniques course" or "didn't take the techniques 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 () 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. (Jo fE)_ (Observedellfrequency Expectedellfrequency Expectedellfrequency 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 values to three or more decimal places. Send data to Excel Laboratory performance Involved in Involved in X 5 exactly one 5 Involved in no incident 2+ incidents Total incident 27 Took the 23.18 techniques course 76 Status 0.630 regarding lab techniques 66 34 24 course Didn't take the 37.82 124 techniques course 0.386 Total 100 61 39 200 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. a) Determine the type of test statistic to use. Type of test statistic: (Choose one) V Explanation Check of use DEC 9 EO MacBook AirHistory Bookmarks Window Help 51% Thu 4:47 PM Ol www-awu.aleks.com C McGraw-Hill Campus - Introduction to Statistics MTH-107-... McGraw-Hill Education Campus ALEKS - Olivia Ga E O CHI-SQUARE TESTS, INFERENCES FOR REGRESSION, AND .. Chi-square test of independence Olivia Fill wave missing values in the contingency table. Round your expected frequencies to two or more decimal places, and Espanol round your SE - values to three or more decimal places Send data to Excel Laboratory performance x Involved in Involved in Involved in no incident exactly one Total incident 2+ incidents 27 Took the techniques course 23.1 76 10 Status 0.630 egarding lab techniques 66 34 24 course Didn't take the techniques course 0 37.82 124 0.386 Total 100 39 200 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. a) Determine the type of test statistic to use. Type of test statistic Choose one) 7 (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,) (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 No Explanation Check DEC A MacBook Air 4) OF FZ 20 F3 14 F6 F7 DI F8 F9 F10 F71 F5 o 8