Question

dawn and pablo are members of a normally distributed population that is being sampled. if the chance of dawn being included in the sample is 0.05%, what must the chance of pablo being included in the sample be in order to be able to make inferences about the population based on the sample?

0%
greater than 0% and less than 0.05%
0.05%
greater than 0.05%

Explanation:

Analyze the requirements for statistical inference

To make valid statistical inferences about a population based on a sample, the sample must be selected using a probability sampling method. A fundamental requirement of probability sampling is that every member of the population must have a known, non-zero, and equal probability of being selected.

Compare selection probabilities

Since Dawn and Pablo are members of the same population being sampled, they must have the exact same chance of being included in the sample to ensure a representative, unbiased selection.

Determine the required probability

Given that Dawn's chance of being included is \(0.05\%\), Pablo's chance of being included must also be exactly \(0.05\%\).

Answer:

• 0%
• greater than 0% and less than 0.05%
• 0.05% (Correct answer)
• greater than 0.05%