Question
Betsy wanted to find out if people in her town would purchase lemonade from a lemonade stand set up on the corner of Sycamore and
Street. Out of 2546 families in the town, she found 15 to survey by assigning a number to each family and using a random number generator to choose a number. Out of the families surveyed, 12 families said that they would purchase the lemonade, and 3 families said that they would not.
A friend of hers said that her survey results would not be significant. Why would they not be?
A.
Only 20% of the people surveyed would not purchase from a lemonade stand.
B.
Betsy did not survey enough people in her town.
C.
The survey was only done in one town instead of in multiple towns.
D.
A random number generator could not choose the correct families to participate.
Street. Out of 2546 families in the town, she found 15 to survey by assigning a number to each family and using a random number generator to choose a number. Out of the families surveyed, 12 families said that they would purchase the lemonade, and 3 families said that they would not.
A friend of hers said that her survey results would not be significant. Why would they not be?
A.
Only 20% of the people surveyed would not purchase from a lemonade stand.
B.
Betsy did not survey enough people in her town.
C.
The survey was only done in one town instead of in multiple towns.
D.
A random number generator could not choose the correct families to participate.
Answers
GPT-4o mini
B. Betsy did not survey enough people in her town.
This option is the most relevant because a sample size of only 15 families is likely too small to accurately represent the opinions of the entire population of 2546 families. A larger sample size would give a more reliable estimate of whether people in the town would purchase lemonade from the stand.
This option is the most relevant because a sample size of only 15 families is likely too small to accurately represent the opinions of the entire population of 2546 families. A larger sample size would give a more reliable estimate of whether people in the town would purchase lemonade from the stand.