According to the CDC report, the mean life expectancy in the US population is currently () 82.6 years with a standard deviation () of 10. A researcher examined the age of death of 250 people recently recorded in several Arizona hospitals and calculated the mean to be 76.5 years old. He runs a two-tailed Z test with = .05 to see if Arizona 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. For this question, leave answers in their original decimal places.

A. What are the null hypothesis and alternative hypothesis? Write each one in words and with symbols.

H₀:

Null Hypothesis:

H₁:

H1: Alternative/Research Hypothesis:

B. Calculate the standard error. (Show your calculation process.)

_M =

C. Calculate the Z statistic. (Show your calculation process.)

z =

D. Determine the critical Z value(s). Explain how to find the answer.

E. What is the conclusion of the hypothesis test (do you "reject" or "fail to reject" the null hypothesis)? What is the rationale?

F. Answer the research question (you can use the wording from the hypotheses or explain it in another way).

G. Calculate the standardized effect size. No need to round. (Show your calculation process.)

Cohen's d =