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.)
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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