Use the following scenario to answer the questions below:
A campaign manager for a local politician is interested in thepercentage of Leon County residents who intend to vote in the 2020elections in November. Residents from each neighborhood in LeonCounty are randomly sampled. Using simple random sample techniques,larger neighborhoods have a larger number of residents randomlysampled and smaller neighborhoods have a smaller number ofresidents randomly sampled to get a representative sample.
Altogether 434 Leon County residents are sampled. The result isthat 39% of the sampled Leon County residents intend to vote in the2020 elections in November.
1. The result value 39% would be considered astatistic or parameter?
2. Would using a statistic or a parameter be more appropriate inthis situation?
A). It does not matter as statistics and parameters have thesame values.
B). A statistic because it would be more accurate than aparameter.
C). A statistic because it may be more easily obtained due totime constraints and available resources.
D). A parameter because it includes responses from everyone inthe sample and will not vary from sample to sample.
3. A campaign manager for another candidate claims that thesample taken would not represent the population because the entirepopulation was not surveyed. Which of the following provides thebest evidence that the sample taken would be representative of thepopulation?
A). A large enough sample of residents was randomly taken andproportional to the size of each neighborhood in Leon County.
B). 434 is a large enough sample of residents since more than 30people were interviewed.
C). There is no evidence to say that the sample taken would berepresentative of the population.
D). 39% is a large enough percentage of Leon County residentswho intend to vote in the 2018 midterm elections in November.
4. Suppose that someone at a local news station wants toconsider the sampling variability and uses the results of thesurvey to calculate the margin of error for the result. The personat the station assumes that the normal distribution can be used incalculating the margin of error. Is the assumption of the normaldistribution here correct?
A). Although a random sample was taken, the normal distributionis not appropriate since not enough residents were sampled.
B). The normal distribution is appropriate since a random samplewas taken and there were enough residents who answered “Yes†aswell as “No†to voting in the 2018 midterms in November.
C). The normal distribution is not appropriate since only asample of all the residents of Leon County were surveyed.
D). The normal distribution is appropriate since a random samplewas taken and there were more than 30 residents surveyed.
5. In the midterm primaries in August 2018, 37% of Leon Countyresidents voted. Based on the information provided from the sampleabove, would it be surprising if 37% of all Leon county residentsalso intend to vote in the 2020 elections? State YES or NO and usestatistical reasoning (inference) to support your position.
6. Using the information from the sample above, what is yourconclusion regarding the proportion (or percentage) of Leon Countyresidents who intend to vote in the 2020 elections in November? Beas detailed as possible in your explanation.
