1. In 2018 the national age-adjusted drug overdose death rate was 20.7 deaths per 100,000 persons. The mean age-adjusted drug overdose death rate in the same year for a random sample of 5 states from the 16 southern states (Alabama, Arkansas, Delaware, Florida, Georgia, Kentucky, Louisiana, Maryland, Mississippi, North Carolina, Oklahoma, South Carolina, Tennessee, Texas, Virginia, and West Virginia) was 23.0 with a standard deviation of 10.2. Do all states in the southern region of the U.S. tend to have a higher age-adjusted drug overdose death rate than the nation as a whole? Use the information provided to answer the question. Indicatethe appropriate research and null hypotheses. Conduct a test of the null hypothesis at the.05 alpha level.

H₀:

H₁:

Obtained value of t, rounding at each stage to thethirddecimal place:

Degrees of freedom:

p-value associated with obtained value of t:

Table t:

Decision rule:

Decision:

Conclusion/interpretation: