Question: Q2. Hypothesis Testing with a Z Test (7.5 points) According to the CDC report, the mean life expectancy in the US population is currently ()
Q2. Hypothesis Testing with a Z Test (7.5 points)
According to the CDC report, the mean life expectancy in the US population is currently () 81.1 years with a standard deviation (?) of 15.9. A researcher examined the age of death of 70 people recently recorded in several Florida hospitals and calculated the mean to be 85.2 years old. He runs a two-tailed Z test with ? = .05 to see if Florida has a significantly different life expectancy compared to the US population. Because the researcher is not predicting a direction, the hypotheses should be non-directional, and the test should be two-tailed.
Q2a. What is the dependent variable in this research question?
Q2b. What should the null and alternative hypotheses? State each hypothesis using both words and statistical symbol notation.
| Written | Symbolic Symbol bank for copy & pasting: =m | |
| Null | H0: | |
| Alternative | H1: |
Q2c. Calculate standard error (SE, which is the standard deviation of the sampling distribution) Round the result to the hundredth (2nd place to the right of the decimal).
Q2d. Calculate the Z statistic (which indicates where our sample mean is located on the sampling distribution) Round the result to the hundredth (2nd place to the right of the decimal).
Q2e. Determine the critical Z value(s). Explain how you find the answer.
Q2f. Compare the Z statistic with the appropriate critical Z value and then draw a conclusion about the result of the hypothesis test. What is the answer to the research question now?
- Do you "reject" or "fail to reject" the null hypothesis?
- What is the answer to the research question?
Q2g. Calculate the standardized effect size. Round the result to the hundredth (2nd place to the right of the decimal).

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