/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 5 In the GSS, subjects who were ma... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the GSS, subjects who were married were asked about the happiness of their marriage, the variable coded as HAPMAR. a. Go to the GSS website sda.berkeley.edu/GSS/, click GSS with no weight as the default, and construct a contingency table for 2012 relating family income (measured as in Table 11.1 ) to marital happiness: Enter FINRELA(r:4;3;2) as the row variable (where \(4=\) "above average," \(3=\) "average, \("\) and \(2=\) "below average") and HAPMAR(r:3;2;1) as the column variable \((3=\) not \(t o 0,2=\) pretty \(,\) and \(1=\) very happy \()\) As the selection filter, enter YEAR(2012). Under Output Options, put a check in the row box (instead of in the column box) for the Percentaging option and put a check in the Summary Statistics box further below. Click on Run the Table. b. Construct a table or graph that shows the conditional distributions of marital happiness, given family income. How would you describe the association? c. Compare the conditional distributions to those in Table \(11.2 .\) For a given family income, what tends to be higher, general happiness or marital happiness for those who are married? Explain.

Short Answer

Expert verified
Marital happiness tends to vary with family income levels. By comparing with Table 11.2, decide if general happiness is typically higher than marital happiness.

Step by step solution

01

Access GSS Data

Go to the GSS website at sda.berkeley.edu/GSS/. Under the GSS 2012 Data section, select 'GSS with no weight as the default' to begin constructing your contingency table.
02

Enter Variables

Input the necessary variables: Set FINRELA(r:4;3;2) as the row variable representing family income levels ('above average', 'average', 'below average'), and HAPMAR(r:3;2;1) as the column variable for marital happiness ('not too happy', 'pretty happy', 'very happy'). Use YEAR(2012) as the selection filter.
03

Set Output Options

In Output Options, select the 'row' box under Percentaging to calculate percentages based on rows. Also, check the 'Summary Statistics' option for additional insights.
04

Run the Table

Click on 'Run the Table' to generate the contingency table showing the distribution of marital happiness across different family income levels for the year 2012.
05

Construct a Graph or Table

Using the data from the generated table, construct a graph or table that represents the conditional distributions of marital happiness given family income levels. This can be displayed in a bar graph for clarity.
06

Describe the Association

Observe the graph or table to describe how marital happiness (not too happy, pretty happy, very happy) is distributed across income levels. Note any patterns or trends between income and perceived marital happiness.
07

Compare with Table 11.2

Compare the conditional distributions you constructed with those shown in Table 11.2 of your textbook. Pay attention to the general happiness levels within each income class and analyze whether general happiness or marital happiness is higher for each income level.
08

Analyze Findings

Based on comparisons, analyze and explain why there are differences in general versus marital happiness. Consider income levels, societal factors, or possible biases in reported happiness.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Marital Happiness
Marital happiness refers to the perceived satisfaction or contentment that individuals feel in their marriage. It is a subjective measure, often influenced by multiple factors including family dynamics, communication, and financial stability. Understanding marital happiness is crucial because it significantly impacts an individual's overall well-being and mental health.

In the context of the General Social Survey (GSS), marital happiness is analyzed by collecting responses from married individuals on how happy they are in their marriage. The survey measures it through categories such as 'not too happy,' 'pretty happy,' and 'very happy.' This allows researchers to see trends and correlations across different demographic groups.

Analyzing such data can reveal insights into what makes marriages successful or problematic. For instance, it could show how external factors like economic stress or societal norms might influence individual perceptions of marital satisfaction. Through contingency table analysis, one can investigate how marital happiness aligns with variables like family income, offering a nuanced understanding of marital dynamics.
Family Income
Family income represents the total amount of money earned by all members of a family, usually expressed on a yearly basis. It is a critical variable in social research because it affects the quality of life and opportunities available to family members.

In the GSS analysis, researchers look at family income in different categories, such as 'above average,' 'average,' and 'below average.' These categories help in assessing the socio-economic status of respondents. Family income can have a direct impact on various aspects of life, including education, health, and even marital happiness.

When examining the relationship between family income and marital happiness, one might observe that financial stability or insecurity can influence personal relationships. Higher family income levels might correlate with higher reports of marital satisfaction, as financial stress often leads to conflict and dissatisfaction. Conversely, stable incomes could reduce stressors, allowing for more harmonious interpersonal interactions.
General Social Survey (GSS)
The General Social Survey (GSS) is a sociological survey used to collect data on societal trends and public opinion demographics in the United States. Conducted by the National Opinion Research Center (NORC) at the University of Chicago, the GSS collects data on a wide array of topics, including family income, marital happiness, education, and other key social indicators.

Since its first implementation in 1972, the GSS has been an invaluable resource for researchers across various fields. It allows them to track changes in societal norms and values over time. In the case of analyzing marital happiness, GSS data provides a robust foundation for understanding how happiness in marriage may vary based on income and other demographics.

The data collected through GSS is publicly accessible, which means educators, policymakers, and researchers can all leverage the information to make informed decisions and analyses. It serves as a critical tool for longitudinal studies aiming to decipher complex social patterns and relationships.
Conditional Distributions
Conditional distributions are a fundamental concept in statistics, used to describe the probability of different outcomes occurring, given a specific condition or set of conditions. In the realm of contingency table analysis, it helps in understanding how variables are related.

For example, in the GSS dataset, one might analyze conditional distributions of marital happiness given different levels of family income. This will help determine how marital satisfaction varies across income groups, providing a deeper insight into the sociology of marriage.

By examining conditional distributions, one can make more precise observations about the relationship between the variables involved, potentially identifying causal relationships or significant correlations. It's particularly useful in identifying trends that might not be immediately obvious when looking at raw data alone. This can be an essential aspect of presenting data in a way that can influence understanding and decision-making effectively.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Female participation in defense services? When people participating in recent surveys were asked if women should actively participate in defense services, about \(91 \%\) of females and \(91 \%\) of males answered yes and the rest answered no. a. For males and for females, report the conditional distributions on this response variable in a \(2 \times 2\) table, using outcome categories (yes, no). b. If results for the entire population are similar to these, does it seem possible that gender and opinion about having active participation of women in defense services are independent? Explain.

A study used 1496 patients suffering from low levels of anxiety. The study randomly assigned each subject to a cognitive behavioral therapy (CBT) treatment or a placebo treatment. In this study, increased anxiety levels were observed for 45 of the 729 subjects taking a placebo and for 29 of the 767 subjects taking CBT. a. Report the data in the form of a \(2 \times 2\) contingency table. b. Show how to carry out all five steps of the null hypothesis that having an anxiety attack is not associated with whether one is taking a placebo or CBT. (You should get a chi-squared statistic equal to \(4.5 .\) ) Interpret.

True or false: Statistical but not practical significance Even when the sample conditional distributions in a contingency table are only slightly different, when the sample size is very large it is possible to have a large \(X^{2}\) statistic and a very small P-value for testing \(\mathrm{H}_{0}\) independence.

True or false: \(X^{2}=0\) The null hypothesis for the test of independence between two categorical variables is \(\mathrm{H}_{0}: X^{2}=0\) for the sample chi-squared statistic \(X^{2}\). (Hint: Do hypotheses refer to a sample or the population?)

Explaining Fisher's exact test A pool of six candidates for three managerial positions includes three females and three males. Denote the three females by \(\mathrm{F} 1, \mathrm{~F} 2, \mathrm{~F} 3\) and the three males by \(\mathrm{M} 1, \mathrm{M} 2, \mathrm{M} 3 .\) The result of choosing three individuals for the managerial positions is (F2, M1, M3). a. Identify the 20 possible samples that could have been selected. Explain why the contingency table relating gender to whether chosen for the observed sample is \begin{tabular}{lcc} \hline & \multicolumn{2}{c} { Chosen For Position } \\ \cline { 2 - 3 } Gender & Yes & No \\ \hline Male & 2 & 1 \\ Female & 1 & 2 \\ \hline \end{tabular} b. For each of the 20 samples, find the corresponding contingency table as in part a. Show that of these 20 tables, 1 has a cell count of 0,9 have a cell count of 1 , another 9 have a cell count of \(2,\) and 1 has a cell count of 3 in the first cell. Hence, show that 10 of the 20 tables have a cell count in the first cell as large or larger than the observed table from part a. (Note that, if the managers were randomly selected, each of the 20 tables is equally likely to be observed. Then, the probability is \(10 / 20=0.5\) of observing a table that shows equal or even stronger evidence that males are selected more often, and 0.5 is the P-value for Fisher's exact test with \(\mathrm{H}_{a}: p_{1}>p_{2},\) where \(p_{1}\) is the proportion of males and \(p_{2}\) the proportion of females chosen for the position.)

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.