1.The state highway patrol stops every 5th car on highway 210 to check drivers' licenses and registrations. Which sampling technique are they using?
systematic sampling -chose this one
convenience sampling
cluster sampling
simple random sampling
stratified sampling
2.You randomly select eight neighborhoods across Fayetteville and survey all residents of each neighborhood to find out how many pets they own. What type of sampling technique are you using?
cluster sampling - chose this one
simple random sampling
stratified sampling
convenience sampling
systematic sampling
3. A certain community college sent out surveys to all 70 companies in the area that had hired 2009 graduates of the college. Only 9 of the companies who received a survey completed the questions and returned the survey to the college. Based on this fact, identify ALL the misuses of statistics in the following statement:
98% of companies responding to the latest survey indicate that they are very satisfied with recently hired employees who are 2009 graduates of our community college."
The sample is not of sufficient size to be representative of the population of interest.
There is no misuse of statistics in the quoted statement. chose this one
The survey was only sent to companies that the college knew were very satisfied with graduates of the college. chose this one
The sample is possibly biased, since employers who are either very satisfied or very dissatisfied are more likely to respond to the survey than employers who are more neutral on the subject
1. Yes
2. Yes
3. Last choice is correct. Notice that surveys sent to "all 70 companies."
1. The state highway patrol is using the systematic sampling technique. In this technique, every 5th car on highway 210 is chosen to be stopped for checking licenses and registrations. This method ensures a regular and systematic selection process.
2. You are using the cluster sampling technique. In this technique, you randomly select eight neighborhoods across Fayetteville and survey all residents of each neighborhood to determine how many pets they own. This method allows you to gather data from specific clusters (neighborhoods) and can be more efficient than surveying every resident in the entire city.
3. The misuses of statistics in the given statement are:
- The sample is not of sufficient size to be representative of the population of interest. Only 9 out of 70 companies completed the survey, which may not accurately represent all the companies that hired 2009 graduates.
- The sample is possibly biased since the survey was only sent to companies that the college knew were very satisfied with their graduates. This selective sampling may not provide a balanced representation of employer satisfaction.
- The statement may be misleading because employers who are very satisfied or dissatisfied are more likely to respond to the survey, while employers with neutral opinions are less likely to respond. This can introduce bias in the results.
Therefore, the correct answer is: The sample is possibly biased, since employers who are either very satisfied or very dissatisfied are more likely to respond to the survey than employers who are more neutral on the subject.