Exploring Random Sampling and Population Inferences

What is an example of a fair random sampling method in a school setting?

• Asking only the girls in the lunch line

• Surveying every 20th person in the lunchroom

• Surveying only students who take the bus

• Asking only the students who bring lunch from home

Which sampling method is considered unfair?

• Surveying students in different classes equally

• Asking all students in the bus line

• Choosing every 25th student from a list

• Randomly selecting any student in the school

Why is asking only girls in a survey considered non-random sampling?

• Girls are more likely to respond

• It excludes a significant part of the population

• It is easier to manage logistically

• It includes all genders equally

What is a consequence of non-random sampling in surveys?

• It increases participant diversity

• It simplifies data analysis

• It may lead to biased results

• It provides more accurate data

What is the purpose of setting up a proportion in random sampling analysis?

• To confuse the survey participants

• To estimate values for a larger population

• To make the calculations more complex

• To reduce the number of survey questions

How do you solve a proportion in random sampling calculations?

• By subtracting the smaller number from the larger

• By cross-multiplying and solving for the unknown

• By adding the numbers

• By dividing the larger number by the smaller

If 10 out of 40 surveyed library patrons prefer science fiction, how many out of 300 patrons would likely prefer it?

• 150 patrons

• 30 patrons

• 60 patrons

• 75 patrons

True or False: Over 25% of the library patrons chose science fiction if 10 out of 40 surveyed did so.

• Irrelevant to the survey

• Cannot be determined

• False

• True

What percentage of surveyed patrons preferred mystery books if 18 out of 40 chose it?

• 55%

• 42%

• 50%

• 45%

What does a result of 30% mean in the context of library patrons preferring nonfiction books?

• 60 out of 200 patrons prefer nonfiction

• 30 out of 100 patrons prefer nonfiction

• 120 out of 400 patrons prefer nonfiction

• 90 out of 300 patrons prefer nonfiction