One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement “I’m pleased with the way we divide the responsibilities for childcare.” The ratings went from one (strongly agree) to five (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test to see if the mean difference in the husband’s versus the wife’s satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife’s Score 2 2 3 3 4 2 1 1 2 4 Husband’s Score 2 2 1 3 2 1 1 1 2 4 State the hypotheses of the study. b. Find the critical t value for this study at an alpha level at α=.05. c. Compute the independent t test d. If significant, perform a percentage of variance test. e. State the results in APA format (numbers and words) and don’t forget to include all parts in the sentence and the direction of the results.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
- One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement “I’m pleased with the way we divide the responsibilities for childcare.” The ratings went from one (strongly agree) to five (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test to see if the mean difference in the husband’s versus the wife’s satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife).
|
Wife’s Score |
2 |
2 |
3 |
3 |
4 |
2 |
1 |
1 |
2 |
4 |
|
Husband’s Score |
2 |
2 |
1 |
3 |
2 |
1 |
1 |
1 |
2 |
4 |
State the hypotheses of the study.
b. Find the critical t value for this study at an alpha level at α=.05.
c. Compute the independent t test
d. If significant, perform a percentage of variance test.
e. State the results in APA format (numbers and words) and don’t forget to include all parts in the sentence and the direction of the results.
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