William is interested in knowing whether or not athletics from his team have lower satisfaction with their team on a survey than the known population average survey score of 19 and the known population survey standard deviation is 12. He samples 36 athletics from his team and finds a sample mean of 15. Assume an alpha = .05.
- Conduct a one-sample z-test to answer the question above.
- Report hypotheses
- the test statistic
- the critical value
- conclusion with regards to the hypotheses
- state what the result means for the problem