To determine the mean number of dogs per household in a community, Franklin surveyed 30 families at a dog park. For the 30 families surveyed, the mean number of dogs per household is 1.6 . Which of the following statements must be true? Choose 1 answer: (A) The mean number of pets per household in the community is 1.6 . (B) The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of dogs per household in the community. (C) The sampling method is flawed and may produce a biased estimate of the mean number of dogs per household in the community. (D) The sample size is too small to make a determination about the mean number of dogs per household in the community.

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Understand the context: Understand the context of the survey. Franklin surveyed 30 families at a dog park to determine the mean number of dogs per household. The mean number of dogs per household for the surveyed families is 1.6. We need to consider the method of sampling to determine if the statement about the community's mean number of dogs per household is likely to be true.Evaluate sampling method: Evaluate the sampling method. Franklin's survey was conducted at a dog park, which may introduce bias because the families present at a dog park are more likely to own dogs than the general population. This could lead to an overestimation of the mean number of dogs per household in the community.Analyze given statements: Analyze the given statements. (A) The mean number of pets per household in the community is 1.6. This statement assumes that the sample is representative of the community, which may not be true due to the potential sampling bias. (B) The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of dogs per household in the community. This statement is not necessarily true because the sample was taken at a dog park. (C) The sampling method is flawed and may produce a biased estimate of the mean number of dogs per household in the community. This statement acknowledges the potential bias in the sampling method. (D) The sample size is too small to make a determination about the mean number of dogs per household in the community. The sample size of 30 is not necessarily too small for a determination, but the potential bias is a more significant issue than the sample size.Choose correct statement: Choose the correct statement. Based on the analysis, the most accurate statement is (C) The sampling method is flawed and may produce a biased estimate of the mean number of dogs per household in the community, because the survey was conducted at a dog park, which is not a random sampling of the entire community.

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