Frequencies of Living Situation and Pet Single Family Couple Dog 75 92 88 Cat 104 94 68 Various 35 45 52 None 56 49 68 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? Paired t-test OIndependence Goodness-of-Fit OHomogeneity b. What are the null and alternative hypotheses? Ho: The distribution of pets is the same for each living situation. The distribution of pets is not the same for each living situation. Pet ownership and living situation are independent. Pet ownership and living situation are dependent. H: The distribution of pets is not the same for each living situation. The distribution of pets is the same for each living situation. Pet ownership and living situation are independent. Pet ownership and living situation 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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I need help with parts c and d
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### Frequencies of Living Situation and Pet Ownership

#### Data Table
The table below presents the frequencies of pet ownership across three different living situations: Single, Family, and Couple.

| Pet Type | Single | Family | Couple |
|----------|--------|--------|--------|
| Dog      | 75     | 92     | 88     |
| Cat      | 104    | 94     | 68     |
| Various  | 35     | 45     | 52     |
| None     | 56     | 49     | 68     |

#### Statistical Analysis at α = 0.01 Significance Level

**Question:** What can be concluded at the α = 0.01 significance level?

**a.** What is the correct statistical test to use?
- [ ] Paired t-test
- [ ] Independence
- [ ] Goodness-of-Fit
- [x] Homogeneity

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

**H₀:**
- [ ] The distribution of pets is the same for each living situation.
- [ ] The distribution of pets is not the same for each living situation.
- [ ] Pet ownership and living situation are independent.
- [x] Pet ownership and living situation are dependent.

**H₁:**
- [x] The distribution of pets is not the same for each living situation.
- [ ] The distribution of pets is the same for each living situation.
- [ ] Pet ownership and living situation are independent.
- [ ] Pet ownership and living situation 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:--- ### Frequencies of Living Situation and Pet Ownership #### Data Table The table below presents the frequencies of pet ownership across three different living situations: Single, Family, and Couple. | Pet Type | Single | Family | Couple | |----------|--------|--------|--------| | Dog | 75 | 92 | 88 | | Cat | 104 | 94 | 68 | | Various | 35 | 45 | 52 | | None | 56 | 49 | 68 | #### Statistical Analysis at α = 0.01 Significance Level **Question:** What can be concluded at the α = 0.01 significance level? **a.** What is the correct statistical test to use? - [ ] Paired t-test - [ ] Independence - [ ] Goodness-of-Fit - [x] Homogeneity **b.** What are the null and alternative hypotheses? **H₀:** - [ ] The distribution of pets is the same for each living situation. - [ ] The distribution of pets is not the same for each living situation. - [ ] Pet ownership and living situation are independent. - [x] Pet ownership and living situation are dependent. **H₁:** - [x] The distribution of pets is not the same for each living situation. - [ ] The distribution of pets is the same for each living situation. - [ ] Pet ownership and living situation are independent. - [ ] Pet ownership and living situation 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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