Question 1: A social researcher wants to determine the impact of a forced move on adolescents regarding feelings of resentment towards parents for a small group. Respondents were asked on a scale of 1-5 how resentful they feel towards their parents before a move and then 1 month after the move (1= not all resentful; 5 = very resentful). Is there a statistically significant difference in feelings of resentment before/after the move? Set alpha to .05 The test statistic is 1.58
Hypothesis Testing:
Question 1:
- A social researcher wants to determine the impact of a forced move on adolescents regarding feelings of resentment towards parents for a small group. Respondents were asked on a scale of 1-5 how resentful they feel towards their parents before a move and then 1 month after the move (1= not all resentful; 5 = very resentful). Is there a statistically significant difference in feelings of resentment before/after the move?
- Set alpha to .05
- The test statistic is 1.58
|
Respondent |
Before Move – X1 |
After Move – X2 |
|
Stephanie |
2 |
3 |
|
Myron |
1 |
2 |
|
Carol |
3 |
3 |
|
Inez |
3 |
3 |
|
Leon |
1 |
1 |
|
David |
4 |
4 |
|
1. Identify what is being compared:
|
|
2a. Specify 1 or 2 Tailed: 2b. State Null and Alternate Hypotheses in words and using the correct notation H0 (words):
H0 (notation):
Ha (words):
Ha (notation): |
|
3a. t or z distribution? 3b. Determine z or t critical:
|
|
4a. Formula (state what kind of test this is): 4b. Test statistic: 1.58 |
|
5. Make a decision: • Compare test statistic to zcrit or tcrit : • Interpret (in words):
• Test statistic = • p = |
Question 2:
- A researcher is interested in happiness and exercise and wonders if those who exercise are more or less happy compared to those who do not exercise. The researcher acquires a sample of 145 exercisers and administers the Happiness Scale. The Happiness Scale has known characteristics (μ = 25, σ = 12). The researcher finds that for the sample, the exercisers scored x̄ = 29
- The test statistic is = 4.01
- Are exercisers statistically different from non-exercisers? Set alpha to .05.
|
2. Identify what is being compared:
|
|
2a. Specify 1 or 2 Tailed: 2b. State Null and Alternate Hypotheses in words and using the correct notation H0 (words):
H0 (notation):
Ha (words):
Ha (notation): |
|
3a. t or z distribution? 3b. Determine z or t Critical:
|
|
4a. Formula: 4b. Test statistic: 4.01 |
|
5. Make a decision: • Compare test statistic to zcrit or tcrit : • Interpret (in words):
• Test statistic = • p = |
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