Part 1: More Practice Conducting a Hypothesis Test

1. What does it mean if we say that our hypothesis test has atwo-sided (or, as it's sometimes called,two-tailed) alternative hypothesis?

Are you a dog owner? It has been claimed that the proportion of households in the United States that own at least one dog is 0.58. A veterinary researcher has some reason to doubt this claim.She does not know if the true proportion of households that own a dog is larger than or smaller than 0.58; she just thinks the true proportion is different from 0.58. To test her theory, she surveys a random sample of 682 households and finds that 364 of these households report owning a dog. Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05.

2. What will the hypotheses be?

H_o:

H_a:

3. What is the sample proportion? Please calculate this value below and round your answer to three decimal places.

4. What is the test statistic? Please calculate this value below, using the given formula.

- P Z = p(1 - p n0.18 - 0.25 Z= 0.18 (1 - 0.18) 100