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I need help figuring out parts c and d
**Research Study Analysis: Examining the Relationship Between Military Branch and Blood Type**

A researcher is interested in investigating whether the military branch a person signs up for and the person's blood type are dependent. The table below shows the results of a survey.

**Frequencies of Military Branch and Blood Type**

|             | O   | A   | B   | AB  |
|-------------|-----|-----|-----|-----|
| **Army**    | 134 | 74  | 43  | 24  |
| **Navy**    | 99  | 80  | 59  | 22  |
| **Air Force**| 101 | 79  | 47  | 24  |
| **Marines** | 97  | 60  | 54  | 26  |

**Question:**
What can be concluded at the α = 0.10 significance level?

**a. What is the correct statistical test to use?**

- [ ] Paired t-test
- [ ] Goodness-of-Fit
- [ ] Homogeneity
- [ ] Independence

**b. What are the null and alternative hypotheses?**

\( H_0 \):
- [ ] Blood type and branch of the military are independent.
- [ ] The distribution of blood types is not the same for each branch of the military.
- [x] Blood type and branch of the military are dependent.
- [ ] The distribution of blood types is the same for each branch of the military.

\( H_1 \):
- [ ] The distribution of blood types is the same for each branch of the military.
- [ ] The distribution of blood types is not the same for each branch of the military.
- [ ] Blood type and branch of the military are independent.
- [x] Blood type and branch of the military are dependent.

**c. The test-statistic for this data = _______** (Please show your answer to three decimal places.)

**d. The p-value for this sample = _______** (Please show your answer to four decimal places.)
Transcribed Image Text:**Research Study Analysis: Examining the Relationship Between Military Branch and Blood Type** A researcher is interested in investigating whether the military branch a person signs up for and the person's blood type are dependent. The table below shows the results of a survey. **Frequencies of Military Branch and Blood Type** | | O | A | B | AB | |-------------|-----|-----|-----|-----| | **Army** | 134 | 74 | 43 | 24 | | **Navy** | 99 | 80 | 59 | 22 | | **Air Force**| 101 | 79 | 47 | 24 | | **Marines** | 97 | 60 | 54 | 26 | **Question:** What can be concluded at the α = 0.10 significance level? **a. What is the correct statistical test to use?** - [ ] Paired t-test - [ ] Goodness-of-Fit - [ ] Homogeneity - [ ] Independence **b. What are the null and alternative hypotheses?** \( H_0 \): - [ ] Blood type and branch of the military are independent. - [ ] The distribution of blood types is not the same for each branch of the military. - [x] Blood type and branch of the military are dependent. - [ ] The distribution of blood types is the same for each branch of the military. \( H_1 \): - [ ] The distribution of blood types is the same for each branch of the military. - [ ] The distribution of blood types is not the same for each branch of the military. - [ ] Blood type and branch of the military are independent. - [x] Blood type and branch of the military are dependent. **c. The test-statistic for this data = _______** (Please show your answer to three decimal places.) **d. The p-value for this sample = _______** (Please show your answer to four decimal places.)
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