7. The t test for two independent samples-One-tailed example using tables Aa Aa

Question

7. The t test for two independent samples-One-tailed example using tables Aa Aa Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. [Data source: This data was obtained from National Center for Health Statistics.] Suppose a clinical psychologist sets out to look at the role of having children in relationship longevity. He decides to measure marital satisfaction in a group of couples with children and a group of childless couples. He chooses the Marital Satisfaction Inventory, because it refers to "partner" and "relationship" rather than "spouse" and "marriage, which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction. There is one score per couple. Assume that these scores are normally distributed and that the variances of the scores are the same among couples with children as among childless couples. The psychologist thinks that couples with children will have greater relationship satisfaction than childless couples identifies the null and alternative hypotheses as: Ho: Hcouples with childresn H 1 : couples with children childless couples childless couples This is a tailed test. The psychologist collects the data. A group of 23 couples with children scored an average of 46.6 with a sample standard deviation of 11 on the Marital Satisfaction Inventory. A group of 28 childless couples scored an average 40.3 with a sample standard deviation of 9. Use the t distribution table. To use the table, you will first need to calculate the degrees of freedom. The degrees of freedom are To see the table, click on the arrow and then on the words "The t distribution, that appear in the space below. With a .05, the critical t-score (the value for a t-score that separates the tail from the main body of the distribution, forming the critical region) is the critical values for both surrounding df values and select the larger t value to use as your critical t-score. If (Note: If your df value is not included in this table, look R.

Explanation / Answer

1. H0: Couples with children = 2 Childless couples (This is the null hypothesis that assumes that there is no difference between the means of relationship satisfaction between couples with children and couples without children)

2. H1: Couples with children > 2 Childless couples (This is the alternate hypothesis that assumes that the mean of relationship satisfaction of couples with children is greater than that of couples without children)

3. This is a one tailed test. (This is because the researcher is making an assumption about the direction of difference that is expected from the results, that is, by assuming that couples with children will have a greater relationship satisfaction than childless couples)

4. The degrees of freedom are 49. (N1 + N2 - 2 = 23 + 28 - 2).

Please post the other questions separately as we are supposed to answer just one question or four sub parts of a question.

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