5. the table shows the results of a survey co...
5. the table shows the results of a survey conducted to choose a new mascot. yolanda said that the sample consists of all 237 students at tichenor middle school. a. what was yolanda’s error? b. what is the sample size? explain. 16. reasoning to predict the outcome of the vote for the town budget, the town manager assigned random numbers and selected 125 registered voters. he then called these voters and asked how they planned to vote. is the town manager’s sample representative of the population? explain. 18. researchers want to determine the percentage of americans who have visited the florida everglades national park in florida. the diagram shows the population of this study, as well as the sample used by the researchers. after their study, the researchers conclude that nearly 75% of americans have visited the park. a. what error was likely made by the researchers?
Answer
# Brief Explanations:
## 15a.
A sample is a subset of a population. The 237 students are likely just a part of all students at the school (the population), not the entire population. Yolanda confused the sample with the population.
## 15b.
The sample size is the number of elements in the sample. Here, the 237 students surveyed are the sample, so the sample size is 237.
## 16.
The town - manager's sample is likely representative. He used random numbers to select registered voters, which gives each registered voter an equal chance of being selected. This is a form of random sampling, which helps to make the sample representative of the population of all registered voters.
## 18a.
The researchers likely made a sampling error. If their sample is not representative of all Americans (e.g., if it is biased towards people who live near the park or have a particular interest in national parks), then the conclusion that nearly 75% of Americans have visited the park is inaccurate.
# Answer:
## 15a.
Yolanda confused the sample with the population. The 237 students are a sample, not the entire population of students at Tichenor Middle School.
## 15b.
237. The sample size is the number of students surveyed, which is 237.
## 16.
Yes. The town manager used random sampling by assigning random numbers to select registered voters, giving each registered voter an equal chance of being selected, making the sample likely representative of the population of registered voters.
## 18a.
The researchers likely had a non - representative sample, leading to an inaccurate conclusion. Their sample may not be reflective of all Americans.