Sampling Insights: Estimating Preferences in Populations

A school has 500 students. A survey is conducted with a random sample of 50 students to find out their favorite subject. If 20 out of the 50 students chose math, what percentage of the entire school might prefer math?

• 50%

• 40%

• 30%

• 10%

In a city of 10,000 residents, a researcher randomly selects 200 people to ask about their exercise habits. If 150 of those 200 say they exercise regularly, what is the estimated number of residents in the city who might exercise regularly?

• 5000

• 3000

• 10000

• 7500

A farmer has a field with 1,000 apple trees. He randomly samples 100 trees and finds that 30 of them have apples. If this sample is representative, how many apple trees in the entire field might have apples?

• 600

• 450

• 150

• 300

A local bakery sells 1,200 loaves of bread each week. A random sample of 60 loaves is tested for quality, and 5 are found to be stale. What percentage of the total loaves sold might be stale?

• 8.33%

• 12%

• 10%

• 5%

In a class of 30 students, a random sample of 10 students is asked about their favorite sport. If 4 students choose soccer, what fraction of the entire class might prefer soccer?

• 12 students might prefer soccer.

• 20 students might prefer soccer.

• 15 students might prefer soccer.

• 8 students might prefer soccer.

A survey of 500 households in a town shows that 60% have pets. If a random sample of 50 households is taken, how many households in that sample would you expect to have pets?

• 40

• 50

• 30

• 20

A researcher wants to know the average number of books read by students in a school of 800. She randomly selects 40 students and finds that they read an average of 5 books each. How many books might the entire school read on average?

• 6000 books

• 800 books

• 2000 books

• 4000 books

In a population of 2,000 fish in a lake, a scientist catches and tags 100 fish. Later, he catches another sample of 200 fish and finds that 10 of them are tagged. What is the estimated total number of tagged fish in the lake?

• 50

• 200

• 500

• 100

A city has a population of 50,000 people. A random sample of 1,000 people is surveyed about their commuting habits, and 300 say they use public transport. How many people in the entire city might use public transport?

• 10,000

• 15,000

• 5,000

• 25,000

A teacher wants to know how many students in her school of 600 prefer online learning. She surveys a random sample of 60 students and finds that 36 prefer online learning. What percentage of the entire school might prefer online learning?

• 70%

• 50%

• 40%

• 60%