In: Statistics and Probability
For each problem, perform the following steps. Assume that all variables are normally or approximately normally distributed.
State the hypothesis and identify the claim.
Find the critical value(s).
Compute the test value.
Make the decision.
Summarize the results.
According to the 2005-2006 National Pet Owners Survey, only 16% of pet dogs were adopted from an animal shelter and 15% of pet cats were adopted. To test this difference in proportions of adopted pets, a survey was taken in a local region. Is there sufficient evidence to conclude that there is a difference in proportions? Use α = 0.05. [4]
Dogs |
Cats |
|
Number |
180 |
200 |
Adopted |
36 |
30 |