In the 2008 General Social Survey, incomes of married respondents were classified as above average, average,...

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Statistics

  1. In the 2008 General Social Survey, incomes of marriedrespondents were classified as above average, average, and belowaverage. Respondents also answered a question about maritalhappiness as not happy, pretty happy, or very happy. The resultsare below:

Marital Happiness

Income

Not Happy

Pretty Happy

Very Happy

Totals

Above Average

123

105

7

235

Average

291

151

17

459

Below Average

172

83

6

261

Totals

586

339

30

955

Conduct an appropriate test todetermine whether or not there is a statistically significantassociation between marital happiness and income at the 5%significance level.

  1. Which is the independent variable and which is the dependentvariable?
  2. For individuals with average income, what percentage ofindividuals report their marital happiness as “pretty happy?”
  3. Are the basic assumptions of the hypothesis testsatisfied?
  4. What are the null and alternative hypotheses?
  5. Based on the significance level at which you are testing, whatis (are) the critical value(s) for the test?
  6. Calculate the appropriate test statistic, showing all yourwork. You should explicitly display (1) expected values for eachcell and (2) the test statistic contribution of each cell inaddition to calculating the overall test statistic.
  7. Calculate the corresponding p-value from the appropriate tableor online calculator.
  8. What conclusions can you draw from the hypothesis test? Be sureto comment on evidence from both the test statistic andp-value.

Answer & Explanation Solved by verified expert
4.1 Ratings (570 Votes)
A Marital happiness is depend on the income therefore maritalhappiness is the dependent variable and income is independentvariable for this problemB The percentage of individual reports their marital happinessas pretty    See Answer
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