Question

(08.01)Angela 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, this is a valid inference because the 30 families speak for the whole neighborhood


B)Yes, this is a valid inference because she took a random sample of the neighborhood


C)No, this is not a valid inference because she did not take a random sample of the neighborhood


D) No, this is not a valid inference because she asked only 30 families

Answer 1

Using sampling concepts, the correct option regarding the validity of the inference is given as follows:

B) Yes, this is a valid inference because she took a random sample of the neighborhood.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents. If I had taken 1000 residents just from Buffalo, it would not be a representative sample.

In this problem, all addresses in the neighborhood are considered, hence a random sample was taken and the correct option is given as follows:

B) Yes, this is a valid inference because she took a random sample of the neighborhood.

More can be learned about sampling concepts at https://brainly.com/question/25122507

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