A survey of 36 randomly selected students who dropped a course was conducted at a college. The O A. Ho: Oc = Ec and Op Ep and Ow =Ew H,: Oc #Ec or Op #Ep or Ow #Ew %3D following results were collected. Complete parts (a) through (c). Full data set D Course Personal F Work M Course M F B. Ho: Gender and drop reason are independent. M Course F M Work M Work F Personal H,: Gender and drop reason are dependent. Work M Personal F Course F M Course F Course M M PersonalF Personal M M Course F M F Personal F Course M F Personal F Work F Course M Course F Course Course Course Course Course OC. Ho: Pc Pp = Pw H,: At least one of the proportions is different from the othe Work Work F Personal F Calculate the test statistic. Work Work Personal Work X - 2.52 F M Work F (Round to three decimal places as needed.) Work Determine the P-value.
A survey of 36 randomly selected students who dropped a course was conducted at a college. The O A. Ho: Oc = Ec and Op Ep and Ow =Ew H,: Oc #Ec or Op #Ep or Ow #Ew %3D following results were collected. Complete parts (a) through (c). Full data set D Course Personal F Work M Course M F B. Ho: Gender and drop reason are independent. M Course F M Work M Work F Personal H,: Gender and drop reason are dependent. Work M Personal F Course F M Course F Course M M PersonalF Personal M M Course F M F Personal F Course M F Personal F Work F Course M Course F Course Course Course Course Course OC. Ho: Pc Pp = Pw H,: At least one of the proportions is different from the othe Work Work F Personal F Calculate the test statistic. Work Work Personal Work X - 2.52 F M Work F (Round to three decimal places as needed.) Work Determine the P-value.
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![**Educational Text: Chi-Square Test for Independence**
A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected. Complete parts (a) through (c).
**Full Data Set:**
- F: Work
- M: Course
- M: Course
- F: Personal
- F: Work
- M: Course
- F: Course
- M: Personal
- M: Personal
- F: Course
- M: Course
- F: Work
- M: Course
- F: Course
- F: Course
- M: Work
- M: Work
- F: Work
- F: M: Personal
- M: Course
- M: Work
- F: Personal
- M: Course
- F: Course
- F: Course
- M: Personal
- M: Personal
- F: Personal
- F: Personal
- F: Work
- M: Work
- M: Work
- F: Personal
- M: Course
- M: Course
- F: Personal
- F: Work
- M: Course
- F: Work
- F: Personal
**Hypothesis Testing Options:**
- **Option A:**
- \(H_0\): \(O_C = E_C\), \(O_P = E_P\), and \(O_W = E_W\)
- \(H_1\): \(O_C \neq E_C\) or \(O_P \neq E_P\) or \(O_W \neq E_W\)
- **Option B: (Selected)**
- \(H_0\): Gender and drop reason are independent.
- \(H_1\): Gender and drop reason are dependent.
- **Option C:**
- \(H_0\): \(P_C = P_P = P_W\)
- \(H_1\): At least one of the proportions is different from the others.
**Calculate the Test Statistic:**
\[
\chi^2_0 = 2.52
\]
(Round to three decimal places as needed.)
**Determine the P-value:**
P-value: \_\_\_
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bcd9420-2e71-4537-86fb-91c5a0e6047d%2F961b96c9-9516-4686-97df-4945ccc02a8d%2Fbymrqv9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Text: Chi-Square Test for Independence**
A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected. Complete parts (a) through (c).
**Full Data Set:**
- F: Work
- M: Course
- M: Course
- F: Personal
- F: Work
- M: Course
- F: Course
- M: Personal
- M: Personal
- F: Course
- M: Course
- F: Work
- M: Course
- F: Course
- F: Course
- M: Work
- M: Work
- F: Work
- F: M: Personal
- M: Course
- M: Work
- F: Personal
- M: Course
- F: Course
- F: Course
- M: Personal
- M: Personal
- F: Personal
- F: Personal
- F: Work
- M: Work
- M: Work
- F: Personal
- M: Course
- M: Course
- F: Personal
- F: Work
- M: Course
- F: Work
- F: Personal
**Hypothesis Testing Options:**
- **Option A:**
- \(H_0\): \(O_C = E_C\), \(O_P = E_P\), and \(O_W = E_W\)
- \(H_1\): \(O_C \neq E_C\) or \(O_P \neq E_P\) or \(O_W \neq E_W\)
- **Option B: (Selected)**
- \(H_0\): Gender and drop reason are independent.
- \(H_1\): Gender and drop reason are dependent.
- **Option C:**
- \(H_0\): \(P_C = P_P = P_W\)
- \(H_1\): At least one of the proportions is different from the others.
**Calculate the Test Statistic:**
\[
\chi^2_0 = 2.52
\]
(Round to three decimal places as needed.)
**Determine the P-value:**
P-value: \_\_\_
(Round to three decimal places as needed.)
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