Does quality of communication improve after people are married? Let’s consider a study by Olthoff (1989) who tested the communication quality of engaged couples three months before and again three months after marriage. In this study, 12 couples received ordinary premarital counseling. We will examine the communication quality of the husbands in this study, where higher scores indicate better communication quality. Husband Pre-score Post-score 1 115 126 2 125 133 3 96 126 4 115 115 5 119 108 6 82 109 7 93 124 8 109 98 9 95 95 10 104 120 11 107 118 12 96 128 Therefore, the research hypothesis is that the quality of communication changes after husbands are married. Hint: Make sure you do Post-Pre. Step 1. Express the substantive question as two statistical hypotheses. H0: Answer Answer Answer H1: Answer Answer Answer Step 2. Draw the sampling distribution under the null hypothesis using the p < .05 as the criterion for statistical significance to determine the critical values. What is the center of the distribution? Answer Answer Answer What are the critical values? ± Answer 3 decimal places Step 3. For this data set, you do not have the Table of Descriptive Statistics. Complete the Table of Descriptive Statistics and then compute SE, t-test, 95% CI, and d-effect size. Report the M to TWO decimal places. Hint: Treatment - Control Husband D Deviations Squared Deviations 1 Answer Answer Answer 2 Answer Answer Answer 3 Answer Answer Answer 4 Answer Answer Answer 5 Answer Answer Answer 6 Answer Answer Answer 7 Answer Answer Answer 8 Answer Answer Answer 9 Answer Answer Answer 10 Answer Answer Answer 11 Answer Answer Answer 12 Answer Answer Answer MD = Answer ∑ = Answer SSD = Answer MD Answer S2D Answer SDD Answer nD Answer dfD Answer SE = Answer / SQRT(Answer) = Answer tobs = Answer / Answer = Answer What can we say about the tobs in relation to the p-value and significance? p Answer Answer Hint: What is our alpha level? Our observation Answer statistically significant. We Answer. 95% CI around mean difference = Answer ± Answer(Answer) = (Answer , Answer) What can we say about the CI in relation to the center of the distribution and significance? The 95% CI Answer include zero. Our observation Answer statistically significant. We Answer. dz = Answer / Answer = Answer
Does quality of communication improve after people are married? Let’s consider a study by Olthoff (1989) who tested the communication quality of engaged couples three months before and again three months after marriage. In this study, 12 couples received ordinary premarital counseling. We will examine the communication quality of the husbands in this study, where higher scores indicate better communication quality.
Husband |
Pre-score |
Post-score |
---|---|---|
1 | 115 | 126 |
2 |
125 | 133 |
3 |
96 |
126 |
4 | 115 | 115 |
5 |
119 | 108 |
6 |
82 |
109 |
7 | 93 | 124 |
8 |
109 | 98 |
9 |
95 |
95 |
10 | 104 |
120 |
11 |
107 | 118 |
12 |
96 |
128 |
Therefore, the research hypothesis is that the quality of communication changes after husbands are married.
Hint: Make sure you do Post-Pre.
Step 1. Express the substantive question as two statistical hypotheses.
H0: Answer
Answer
Answer
H1: Answer
Answer
Answer
Step 2. Draw the sampling distribution under the null hypothesis using the p < .05 as the criterion for statistical significance to determine the critical values.
What is the center of the distribution? Answer
Answer
Answer
What are the critical values? ± Answer
3 decimal places
Step 3. For this data set, you do not have the Table of
Report the M to TWO decimal places.
Hint: Treatment - Control
Husband | D | Deviations | Squared Deviations |
---|---|---|---|
1 | Answer
|
Answer
|
Answer
|
2 | Answer
|
Answer
|
Answer
|
3 | Answer
|
Answer
|
Answer
|
4 | Answer
|
Answer
|
Answer
|
5 | Answer
|
Answer
|
Answer
|
6 | Answer
|
Answer
|
Answer
|
7 | Answer
|
Answer
|
Answer
|
8 | Answer
|
Answer
|
Answer
|
9 | Answer
|
Answer
|
Answer
|
10 | Answer
|
Answer
|
Answer
|
11 | Answer
|
Answer
|
Answer
|
12 | Answer
|
Answer
|
Answer
|
MD = Answer
|
∑ = Answer
|
SSD = Answer |
MD | Answer
|
---|---|
S2D | Answer
|
SDD | Answer
|
nD | Answer |
dfD | Answer
|
SE = Answer
/ SQRT(Answer) = Answer
tobs = Answer / Answer = Answer
- What can we say about the tobs in relation to the p-value and significance?
- p Answer
- Our observation Answer statistically significant. We Answer.
95% CI around mean difference = Answer ± Answer(Answer) = (Answer , Answer)
- What can we say about the CI in relation to the center of the distribution and significance?
- The 95% CI Answer include zero.
- Our observation Answer statistically significant. We Answer.
dz = Answer / Answer = Answer
Step 4. Write an APA conclusion using your by-hand work.
Report all values to TWO decimal places.
On average, husbands' quality of communication is Answer
after marriage compared to before marriage (MD = Answer; SDD = Answer ). A Answer showed that the mean difference Answer statistically significant, (t (Answer) = Answer , p Answer Answer ). Also, the 95% CI around the mean difference Answer include zero, (Answer , Answer). The d-effect size indicated there was a Answer treatment effect (dz = Answer).

![**Page Title: Understanding Statistical Significance and Confidence Intervals**
---
### Statistical Analysis Section (Editable Fields)
**t<sub>obs</sub> Calculation:**
- **Equation:** t<sub>obs</sub> = ___ / ___
**Significance Testing:**
- **What can we say about the t<sub>obs</sub> in relation to the p-value and significance?**
- p ⬜️ (greater than or less than) ___ (Alpha level hint: What is our alpha level?)
- Our observation ⬜️ [is/is not] statistically significant. We ⬜️ [accept/reject] the hypothesis.
**95% Confidence Interval (CI) around Mean Difference:**
- **Formula:** = ___ ± (___) (___) = (___, ___)
- **Interpretation:**
- The 95% CI ⬜️ [does/does not] include zero.
- Our observation ⬜️ [is/is not] statistically significant. We ⬜️ [accept/reject] the hypothesis.
**Effect Size Calculation:**
- **Equation:** d<sub>z</sub> = ___ / ___ = ___
---
### Step 4: Writing an APA Conclusion
**Guidance:** Report all values to two decimal places.
**Example Conclusion Format:**
On average, husbands' quality of communication is ⬜️ [higher/lower] after marriage compared to before marriage (M<sub>D</sub> = 12; SD<sub>D</sub> = 15.64). A dependent sample t-test ⬜️ [supported/refuted] this, showing the mean difference ⬜️ [was/was not] statistically significant, t(df) = ___, p ⬜️ [is/is not]< 0.05. Also, the 95% CI around the mean difference ⬜️ [does/does not] include zero, (___, ___). The d-effect size indicates there was a ___ [small/medium/large] treatment effect (d<sub>z</sub> = ___).
---
This template guides students through the process of statistical hypothesis testing, including calculating t-values, assessing significance, interpreting confidence intervals, and drawing conclusions according to APA standards.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57ce3033-b78f-4d66-b1b5-8248b3eac252%2F2fe4f6ee-4a5e-4579-8428-138ca46404da%2Fu0q9snp_processed.png&w=3840&q=75)
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