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 0.05 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.) 0 (c) Find the p-value. (Round to three or more decimal places.) 10 (d) Can Mandrake conclude that there is a relationship between students' laboratory performances and whether or not they took the techniques course? Use the 0.05 level of significance. Yes No X $

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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 0.05 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.)
0
(c) Find the p-value. (Round to three or more decimal places.)
0
(d) Can Mandrake conclude that there is a relationship between students' laboratory
performances and whether or not they took the techniques course? Use the 0.05 level of
significance.
Yes
No
X
S
Transcribed Image Text: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 0.05 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.) 0 (c) Find the p-value. (Round to three or more decimal places.) 0 (d) Can Mandrake conclude that there is a relationship between students' laboratory performances and whether or not they took the techniques course? Use the 0.05 level of significance. Yes No X S
Mandrake Falls High School is experimenting with a weekend course in laboratory techniques. Of the 200 students enrolled in
lab classes at Mandrake, only 78 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
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 (f); the second number is the expected cell frequency
(E) 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-fE) (Observedell frequency Expecte dellfrequenc
SE
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
(SO-SE)²
JE
values to three or more decimal places.
Send data to Excel
Status
regarding lab
techniques
course
Took the
techniques course
Didn't take the
techniques course
Total
(a) Determine the type of test
statistic to use.
Involved in
no incident
Type of test statistic:
(Choose one) ▼
33
0
SE
65
10
0
98
Laboratory performance
Involved in
exactly one
incident
20
0
0
41
0
0
61
(c) Find the p-value. (Round to three or more decimal places.)
□
Involved in
2+ incidents
25
15.99
5.077
16
25.01
3.246
41
(b) Find the value of the test statistic. (Round to two or more decimal places.)
0
Total
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 0.05 level of significance.
78
122
200
X
3
Transcribed Image Text:Mandrake Falls High School is experimenting with a weekend course in laboratory techniques. Of the 200 students enrolled in lab classes at Mandrake, only 78 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 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 (f); the second number is the expected cell frequency (E) 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-fE) (Observedell frequency Expecte dellfrequenc SE 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 (SO-SE)² JE values to three or more decimal places. Send data to Excel Status regarding lab techniques course Took the techniques course Didn't take the techniques course Total (a) Determine the type of test statistic to use. Involved in no incident Type of test statistic: (Choose one) ▼ 33 0 SE 65 10 0 98 Laboratory performance Involved in exactly one incident 20 0 0 41 0 0 61 (c) Find the p-value. (Round to three or more decimal places.) □ Involved in 2+ incidents 25 15.99 5.077 16 25.01 3.246 41 (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 Total 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 0.05 level of significance. 78 122 200 X 3
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