Dating CohabitingMarried 149 273 Research subjects were followed from adolescence to adulthood, and all the people in the sample were categorized in terms of whether they were obese and whether they were dating, cohabiting, or married. Test the hypothesis that relationship status and obesity are associated, using a significance level of 0.05. Can we conclude from these data that living with someone is making some Obese 82 100 Not 350 326 Obese

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Dating CohabitingMarried =
Research subjects were followed
from adolescence to adulthood,
and all the people in the sample
were categorized in terms of
whether they were obese and
whether they
were dating, cohabiting, or married. Test the hypothesis that relationship
status and obesity are associated, using a significance level of 0.05. Can
we conclude from these data that living with someone is making some
people obese and that marrying is making people even more obese? Can
Obese
82
100
149
Not
350
326
273
Obese
Step 2: Prepare
We choose the chi-square test of independence because the data were from one random sample in which the people were classified two different ways. We do not have a random sample or a random assignment, so we will test to see whether these results could easily have occurred by chance. Find the smallest
expected count and report it. Is it more than 5?
The smallest expected count is , which
V more than 5.
(Round to two decimal places as needed.)
Report the level of significance.
(Do not round.)
Step 3: Compute to compare
Calculate the chi-square test statistic.
x2 = |(Round to two decimal places as needed.)
Determine the p-value.
p-value =
(Round to three decimal places as needed.)
Step 4: Interpret
Reject or do not reject the null hypothesis, and state what that means.
O A. Fail to reject Ho and do not conclude that obesity and relationship status are associated.
O B. Fail to reject Ho and conclude that obesity and relationship status are associated.
C. Reject Ho and conclude that obesity and relationship status are associated.
O D. Reject Ho and do not conclude that obesity and relationship status are associated.
Causality
Can we conclude from these data that living with someone is making some people obese and that marrying is making people even more obese? Can we conclude that obesity affects relationship status? Explain why or why not.
O A. Yes. Since the obesity rate is higher in cohabiting and married people, it can be concluded that marriage can cause obesity.
O B. No. Although a relationship is evident, this is an observational study and cannot be used to prove causality.
OC. No. Obesity rates actually decrease in cohabitating and married people.
O D. Yes. Since cohabiting and married people have a higher rate of obesity, it is clear that being obese increases the chances of getting married.
Percentages
Find and compare the percentages of obese people in the three relationship statuses.
Dating =
%
Cohabiting =
%
Married =
%
Transcribed Image Text:Dating CohabitingMarried = Research subjects were followed from adolescence to adulthood, and all the people in the sample were categorized in terms of whether they were obese and whether they were dating, cohabiting, or married. Test the hypothesis that relationship status and obesity are associated, using a significance level of 0.05. Can we conclude from these data that living with someone is making some people obese and that marrying is making people even more obese? Can Obese 82 100 149 Not 350 326 273 Obese Step 2: Prepare We choose the chi-square test of independence because the data were from one random sample in which the people were classified two different ways. We do not have a random sample or a random assignment, so we will test to see whether these results could easily have occurred by chance. Find the smallest expected count and report it. Is it more than 5? The smallest expected count is , which V more than 5. (Round to two decimal places as needed.) Report the level of significance. (Do not round.) Step 3: Compute to compare Calculate the chi-square test statistic. x2 = |(Round to two decimal places as needed.) Determine the p-value. p-value = (Round to three decimal places as needed.) Step 4: Interpret Reject or do not reject the null hypothesis, and state what that means. O A. Fail to reject Ho and do not conclude that obesity and relationship status are associated. O B. Fail to reject Ho and conclude that obesity and relationship status are associated. C. Reject Ho and conclude that obesity and relationship status are associated. O D. Reject Ho and do not conclude that obesity and relationship status are associated. Causality Can we conclude from these data that living with someone is making some people obese and that marrying is making people even more obese? Can we conclude that obesity affects relationship status? Explain why or why not. O A. Yes. Since the obesity rate is higher in cohabiting and married people, it can be concluded that marriage can cause obesity. O B. No. Although a relationship is evident, this is an observational study and cannot be used to prove causality. OC. No. Obesity rates actually decrease in cohabitating and married people. O D. Yes. Since cohabiting and married people have a higher rate of obesity, it is clear that being obese increases the chances of getting married. Percentages Find and compare the percentages of obese people in the three relationship statuses. Dating = % Cohabiting = % Married = %
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