The 2010 Census showed that 31% of King Country residents lived within Seattle city limits. Seattle city officials wondered if the proportion of county residents currently living in Seattle is higher than the 2010 level. a. Define your parameter, and write the null hypothesis, alternative hypothesis for hypothesis testing.
b. Show that the necessary conditions (Randomization Condition, 10% Condition, Sample Size Condition) are satisfied. Briefly explain how each condition is satisfied.
c. Suppose that out of a recent sample of 1000 King County residents, 345 lived in Seattle city limits. Perform the hypothesis test and compute the P-value. (To show your work: Write down which calculator/program you are using and what values you are entering into the calculator.)
d. Does this provide strong evidence that the proportion of King County residents living in Seattle has increased from the 2010 level? Briefly explain.