For questions 3 -5, consider that the 2012 U.S. Pet Ownership and Demographics S

Question

For questions 3 -5, consider that the 2012 U.S. Pet Ownership and Demographics Sourcebook reports that 36.5% of American households have a pet dog and 30.4% have a pet cat. 3. Does it follow from this information that 66.9% (the sum of 36.5% and 30.4%) ofAmerican households have a pet dog or a pet cat? Explain/justify your answer 4. Based on the information given, what is the smallest possible value for the percentage of American households that have a pet dog or a pet cat? 5. Describe the circumstance in which this smallest possible value (from #4) would be attained.

Explanation / Answer

3)

No as some of the house can contain both a pet dog and a pet cat ; therefore overlapping the categories.

For this resaon this information does not follow that 66.9% of American household have a pet dog or a pet cat.

4)

smallest possible value is maximum of pet dog and pet cat % which is 36.5%

5)

this will happen when al household with pet cats are the households with dogs too, So that households with cats become a subset of household of dogs.

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