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 10th street. out of 2546 families in the town, she found 5 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. 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. the survey was only done in one town instead of in multiple towns. random number generator could not choose the correct families to participate.

Explanation:

To determine why Betsy's survey results are not significant, we analyze each option:

• Option A: The percentage of non - purchasers doesn't directly relate to the significance of the survey. Significance is more about the sample size relative to the population.
• Option B: The town has 2546 families, but Betsy only surveyed \(12 + 3=15\) families. A sample size of 15 is too small to accurately represent the opinions of 2546 families, so this explains why the results are not significant.
• Option C: The survey is about her town, so surveying multiple towns is not necessary for results relevant to her town.
• Option D: A random number generator is a valid way to select a random sample, so this is not a reason for the results to be insignificant.

Answer:

B. Betsy did not survey enough people in her town.