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A sociologist believes that families that eat at least one meal a day together (without theinterference of any other media) will have better communication skills. The sociologistconducts a study to see if there is a difference in the proportion of meals that are eatentogether as a family for families living in a rural setting compared to families living in anurban setting. She collects a random sample from each population and records theproportion of test subjects that reported that they had eaten at least 3 meals per weektogether as a family. The data is summarized in the table below. Assume the all conditionsfor proceeding with a two-sample test have been met. Find the z test statistic (rounded to the nearest hundredth) and p-value (rounded to the nearest thousandth) for testing the hypothesis that the population proportions are different. At the 5% significance level, state the correct conclusion regarding the null hypothesis . Round all calculations to the nearest hundredth.
Lexically Ambiguous
Refers to words or phrases with multiple meanings, leading to potential misunderstandings or varied interpretations based on context.
Whorf's Hypothesis
Whorf's Hypothesis, also known as the linguistic relativity hypothesis, suggests that the structure of a language affects its speakers' worldview and cognition.
Color Perception
The ability of the visual system to differentiate and interpret various wavelengths of light as distinct colors.
Semantics
The study of meaning in language, including the analysis of the meanings of words, phrases, sentences, and texts.
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