Question

Would it be unusual for a household to have 3 dogs? Explain your reasoning.

Dogs 0 1 2 3 4 5

Household 1491 421 167 44 25 14

Choose answer below:

A. It would be unusual because the probability of having 3 dogs is less than 0.05.

B. It would not be unusual because 44 people own 3 dogs in the town.

C. It would not be unusual because it does not have the smallest probability.

D. It would not be unusual because the probability of having 3 dogs is more than 0.05.

Answer 1

Here for unusual observation we need to find the probabilities of dogs.

Probability we can find by using formula :

probability = number of dogs / total number of dogs

dogs	households	p
0	1491	0.689639
1	421	0.194727
2	167	0.077243
3	44	0.020352
4	25	0.011563
5	14	0.006475
total	2162	1

Total number of households = 2162

And we have to say that Would it be unusual for a household to have 3 dogs.

We see that for number of dogs 3 the probability is 0.0204.

This probability is less than 0.05 therefore 3 is the unusual observation.

A. It would be unusual because the probability of having 3 dogs is less than 0.05.

Option A) is correct.