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A Sociologist Believes That Families That Eat at Least One

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A sociologist believes that families that eat at least one meal a day together (without the interference of any other media)will have better communication skills. The sociologist conducts a study to see if there is a difference in the proportion of meals that are eaten together as a family for families living in a rural setting compared to families living in an urban setting. She collects a random sample from each population and records the proportion of test subjects that reported that they had eaten at least 3 meals per week together as a family. The data is summarized in the table below. Assume the all conditions for proceeding with a two- sample test have been met.
A sociologist believes that families that eat at least one meal a day together (without the interference of any other media)will have better communication skills. The sociologist conducts a study to see if there is a difference in the proportion of meals that are eaten together as a family for families living in a rural setting compared to families living in an urban setting. She collects a random sample from each population and records the proportion of test subjects that reported that they had eaten at least 3 meals per week together as a family. The data is summarized in the table below. Assume the all conditions for 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 H<sub>0</sub>: p<sub>rural</sub><sub> </sub>= p<sub>urban</sub>. Round all calculations to the nearest hundredth. 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 H0: prural = purban. Round all calculations to the nearest hundredth.

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Definitions:

Deng Xiaoping

A Chinese communist leader who initiated significant economic reforms in China from the late 1970s, leading to its market economy transformation.

Civilian Goods

Items produced for use by civilians, rather than for military purposes.

National Defense

The protective measures taken by a nation in order to defend itself against potential aggressors, including military forces and defense strategies.

Public Goods

Are goods that are non-excludable and non-rivalrous, meaning they can be consumed by one person without preventing the consumption of the good by another, and no one can be effectively excluded from using the good.

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