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Option 1: "of the population"
Explanation: The text discusses inferential statistics, which is fundamentally about making predictions or estimates regarding a larger group (the population) based on a smaller sample. The phrase 'of the population' directly aligns with the main idea of the text, which emphasizes estimating characteristics of a population from a sample. This is supported by the context where the superintendent aims to determine the proportion of children in a large school system.
Option 2: "of observations"
Explanation: While the text mentions 'observations,' this option does not fit the context of predicting characteristics of a population. The phrase 'of observations' is too vague and does not convey the intended meaning of estimating population characteristics, which is the focus of inferential statistics.
Option 3: "of the children"
Explanation: This option is incorrect because it narrows the focus to just 'the children' rather than the broader concept of 'the population.' The text emphasizes making predictions about a larger group, and 'of the children' does not capture the essence of inferential statistics as described.
Option 4: "of the child"
Explanation: Similar to Option 3, this option is incorrect as it refers to a singular 'child' rather than the entire population. The text's context is about estimating characteristics of a larger group, making 'of the child' insufficient and irrelevant to the main idea of inferential statistics.
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