Hypothesis Testing with the p-value Method:

Test the claim that the proportion of adults in Greene County who own cats is less than 25% at the 0.05 significance level. Based on a sample of 51 adults in Greene County, 22% owned cats. Is there enough evidence to support the claim?

1.) Is this a hypothesis test for mean or proportion? If it's a test for mean, do we know the population standard deviation?

2.) Based on your answer in #1, which calculator will you use:

A.) Mean - Known,B.) Mean - UnknownorC.) Proportions

3.) Will we use a Z-test or t-test? How do you know?

4.) What is the direction of the tail? Left, right or two?

5.) Complete the Hypothesis statement below with the arrows in the correct direction. Mark an X next to the claim.

Null Ho:

Alternative Ha:

(Use u for mean and p for proportion)

Complete the correct calculator with the values from the problem.

6.) Compare the p-value with the level of signficiance. Is the p-value less than or greater than alpha?

7.) Based on your answer in #6,do we reject or fail to reject the null Ho?

8.) Based on your answer in #7, do we support or fail to support the claim?

9.) Give a full conclusion statement. Don't forget to include the level of significance and restate the claim.