Mandrake Falls High School is losing a lot of money through its school laboratories. Accidents and misuse of equipment by students are taking their toll on laboratory supplies. In an attempt to remedy this, Mandrake is experimenting with a weekend course in laboratory techniques. For the time being, lack of resources allow only a portion of Mandrake's lab students to take the weekend course: of the 200 students enrolled in lab classes at Mandrake, only 72 have been able to take the weekend course. Mandrake is interested in evaluating the course's effectiveness in propagating safety in the laboratories. During regular lab classes, lab instructors are recording harmful lab incidents: accidents, misuse of lab equipment, etc. The high 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 (fO); the second number is the expected cell frequency (fE) 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. =−fOfE2fE−Observed cell frequency expected cell frequency2Expected cell frequency 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) (b)Find the value of the test statistic. (Round to two or more decimal places.) (c)Find the p-value. (Round to three 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
Mandrake Falls High School is losing a lot of money through its school laboratories. Accidents and misuse of equipment by students are taking their toll on laboratory supplies. In an attempt to remedy this, Mandrake is experimenting with a weekend course in laboratory techniques. For the time being, lack of resources allow only a portion of Mandrake's lab students to take the weekend course: of the 200 students enrolled in lab classes at Mandrake, only 72 have been able to take the weekend course. Mandrake is interested in evaluating the course's effectiveness in propagating safety in the laboratories. During regular lab classes, lab instructors are recording harmful lab incidents: accidents, misuse of lab equipment, etc.
The high 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 (fO); the second number is the expected cell frequency (fE) 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.
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
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