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 H₀: p_rural= p_urban. Round all calculations to the nearest hundredth.

Question

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 H₀: p_rural= p_urban. Round all calculations to the nearest hundredth.

Quizplus · Accepted Answer

The Answer of 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 H₀: p_rural= p_urban. Round all calculations to the nearest hundredth.

A Sociologist Believes That Families That Eat at Least One