Final answer:
Test if the proportion of registered Republicans in your community matches the state's proportion of 58%, state the null and alternative hypotheses.
Step-by-step explanation:
To test if the proportion of registered Republicans in your community matches the state's proportion of 58%, you can state the null and alternative hypotheses as follows:
Null hypothesis: The proportion of registered Republicans in the community is equal to 58%.
Alternative hypothesis: The proportion of registered Republicans in the community is different from 58%.
To conduct the study, you can collect data on the political affiliation of registered voters in your community and perform a hypothesis test using the appropriate statistical methods.