Question

Use the following information for the next five questions:

Let the random variable p indicate the population proportion of US households who are dog owners.  In a sample of 100 households you find the sample proportion of families who own dogs to be =0.40

1. Construct a 95% confidence interval for , the true proportion of households who own a dog.  
   1. [.319 , .481]
   2. [.304 , .496]
   3. [.312 , .492]
   4. [.395 , .405]

Use the following information along with the information above for the next four questions:

A national media source reports that 36% of families own a dog.  You want to test the hypothesis that the population proportion of families who own a dog is greater than 36%.   

2.   What are the null and alternative hypotheses?
   1. : ; :
   2. : ; :
   3. : ; :
   4. : ; :

3. What are the critical values for the above hypothesis test at the 10%, 5%, and 1% levels?

-1.282, -1.645, -2.326

1.282, 1.645, 2.326

1.645, 1.960, 2.576

-1.645, -1.960, -2.576

4. What is the value of the test statistic for the above hypothesis test?
   1. 0.833
   2. 1.215
   3. -0.833
   4. 2.667

5. What is the p-value for the hypothesis test?
   1. .7924
   2. .1038
   3. .2076
   4. .4152

Answer 1