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

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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
 
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

 

 

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).

**Step 1:** Express the substantive question as two statistical hypotheses.

- \( H_0: \mu_0 = \)
- \( H_1: \mu_1 \neq \)

**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? \( MD = \) 
- What are the critical values? \( \pm 2.201 \) (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       | 11 | -1         | 1                  |
| 2       | 8  | -4         | 16                 |
| 3       | 30 | 18         | 324                |
| 4       | 0  | -12        | 144                |
| 5       | -11|            |                    |

Complete the missing cells to finalize the table and proceed with further statistical computations.
Transcribed Image Text:**Step 1:** Express the substantive question as two statistical hypotheses. - \( H_0: \mu_0 = \) - \( H_1: \mu_1 \neq \) **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? \( MD = \) - What are the critical values? \( \pm 2.201 \) (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 | 11 | -1 | 1 | | 2 | 8 | -4 | 16 | | 3 | 30 | 18 | 324 | | 4 | 0 | -12 | 144 | | 5 | -11| | | Complete the missing cells to finalize the table and proceed with further statistical computations.
**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.
Transcribed Image Text:**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.
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