Question

Addison wants to know how many families in her neighborhood plan to attend the parade. She puts all 120 of the neighborhood addresses in a hat and draws a random sample of 30 addresses. She then asks those families if they plan to attend the parade. She finds that 40% of the families plan to attend the parade. She claims that 40% of the neighborhood families would be expected to attend the parade. Is this a valid inference?

a) Yes

b) No

Answer 1

Addison's claim that 40% of the neighborhood families plan to attend the parade may not be valid because it's based on a small, potentially non-representative sample without accounting for margin of error or confidence level.

Step-by-step explanation:

While Addison's sampling method may seem adequate, it's not safe to assume that her inference about 40% of the neighborhood planning to attend the parade is necessarily valid. This is because there are a variety of factors that could impact her findings, such as the representativeness of the sample. A proper inference requires a random sample that adequately represents the entire population, considering various characteristics like age, family size, and interests. It also requires an understanding of the margin of error and confidence level. Without this information, we can't assess the likelihood that her sample proportion accurately reflects the neighborhood's intention to attend the parade.