10.3 Exercise 34

Use the following information to answer the next three exercises. Neuroinvasive West Nile virus is a severe disease that affects a person’s nervous system. It is spread by the Culex species of mosquito. In the United States in 2010, there were 629 reported cases of neuroinvasive West Nile virus out of a total of 1,021 reported cases, and there were 486 neuroinvasive reported cases out of a total of 712 cases reported in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases? Using a 1 percent level of significance, conduct an appropriate hypothesis test.

1. 2011 subscript: 2011 group.
2. 2010 subscript: 2010 group

An appropriate null hypothesis is

1. p₂₀₁₁ ≤ p₂₀₁₀
2. p₂₀₁₁ ≥ p₂₀₁₀
3. μ₂₀₁₁ ≤ μ₂₀₁₀
4. p₂₀₁₁ > p₂₀₁₀