Based on data collected by the U.S. General Social Survey, a researcher examines the frequency with which adults responded to two questions. The first asked people if they resided in the same city or town now as when they were 16 years old (Residence). The second asked if they found life generally exciting, routine, or dull (Life). Using data from 2,791 people, the results are below. Life is Generally: Living in: Exciting Routine Dull Marginal n Same City or Town O = 489 E = O = 601 E = O = 64 E = 1154 Different Area O = 797 E = O = 763 E = O = 77 E = 1637 Marginal n 1286 1364 141 2791 Using the chi-square (χ2) test for independence, examine if the feelings people have about life in general are related to living in the same city or town as when a teen. State the hypotheses (H0 and H1). Find the critical value for α = .05, 1-tailed. Calculate the test statistic (χ2), filling in relevant portions of the table above as you go. Make a statistical decision and write a conclusion statement. Remember to informally compare observed and expected values to understand the results.
Based on data collected by the U.S. General Social Survey, a researcher examines the frequency with which adults responded to two questions. The first asked people if they resided in the same city or town now as when they were 16 years old (Residence). The second asked if they found life generally exciting, routine, or dull (Life). Using data from 2,791 people, the results are below.
|
|
Life is Generally: |
|
||
|
Living in: |
Exciting |
Routine |
Dull |
Marginal n |
|
Same City or Town |
O = 489 E = |
O = 601 E = |
O = 64 E = |
1154 |
|
Different Area |
O = 797 E = |
O = 763 E = |
O = 77 E = |
1637 |
|
Marginal n |
1286 |
1364 |
141 |
2791 |
Using the chi-square (χ2) test for independence, examine if the feelings people have about life in general are related to living in the same city or town as when a teen.
- State the hypotheses (H0 and H1).
- Find the critical value for α = .05, 1-tailed.
- Calculate the test statistic (χ2), filling in relevant portions of the table above as you go.
- Make a statistical decision and write a conclusion statement. Remember to informally compare observed and expected values to understand the results.
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