Choosing a Hypothesis test For each of the following three s

Choosing a Hypothesis test. For each of the following three scenarios, state which hypothesis test you would use from among the four choices of A: A Z-test, B: Single Sample T-test, C: Paired Samples T-test or D: The independent samples T test. Please explain why you would use the test you chose for the scenario.

Scenario 1: The Hope VI Panel Study (Popkin and Woodley), 2002) was initiated to test a U.S. program aimed at improving troubled public housing developments residents of five Hope VI developments were examined at the beginning of the study so researchers could later ascertain whether their quality of life had improved. Means at the beginning of the study were compared to known national data sources that had summary statistics, including means and standard deviations.

Please tell which test out of the four to use and explain why to use it.

Solution

There is only Scenario 1 in the given problem. Your problem did not shows rest two scenarios.

Following is the answer for scenario 1:

Since national data sources that had summary statistics, including means and standard deviations , so we can assume population standard devaiiton is known. So z-test will be used, even though sample size is small.