A researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey.

Frequencies of Living Situation and Pet

Single Family Couple

Dog 75 83 75

Cat 100 75 92

Various 50 43 58

None 57 43 48

What can be concluded at the= 0.10significance level?

1. What is the correct statistical test to use?

• Paired t-test
• Homogeneity
• Independence
• Goodness-of-Fit

1. What are the null and alternative hypotheses?
2. H0:

• Pet ownership and living situation are dependent.
• Pet ownership and living situation are independent.
• The distribution of pets is the same for each living situation.
• The distribution of pets is not the same for each living situation.

H1

• Pet ownership and living situation are independent.
• The distribution of pets is not the same for each living situation.
• Pet ownership and living situation are dependent.
• The distribution of pets is the same for each living situation.

1. The test-statistic for this data =(Please show your answer to three decimal places.)
2. The p-value for this sample =(Please show your answer to four decimal places.)
3. The p-value is
4. Select an answer
5. greater than
6. less than (or equal to)
8. Based on this, we should

• fail to reject the null
• reject the null
• accept the null

1. Thus, the final conclusion is...

• There is sufficient evidence to conclude that the distribution of pets is not the same for each living situation.
• There is insufficient evidence to conclude that the distribution of pets is not the same for each living situation.
• There is sufficient evidence to conclude that pet ownership and living situation are dependent.
• There is sufficient evidence to conclude that pet ownership and living situation are independent.
• There is insufficient evidence to conclude that pet ownership and living situation are dependent.