All 10 houses on a city block have a dogThe Labrador Retriev

All 10 houses on a city block have a dog.The Labrador Retriever has long been deemed the most popular breed of dog.Determine, with 95% confidence, if these houses having a Lab is random.(10 points)

House #

1

2

3

4

5

6

7

8

9

10

Lab (yes or no)

Yes

Yes

No

Yes

No

No

No

Yes

No

No

State the null and alternative hypotheses:

State the test statistic:

Determine the Critical Region:

Decision:

Conclusion:

Solution

Ho: Having a lab is random

Ha; Having a lab is not random

If having a lab is random the chances of having one should be .5 (the same as not having one)

Using a binomial distribution the chances of having 4 labs in 10 houses is 10C4 ,5^10= .205. Since .205>.05 we conclude there is not enough evidence to reject the null hypothesis that having a lab is random.