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 social psychologist sets out to look at the role of economic hardship in relationship longevity. He decides to measure marital satisfaction in a group of couples living above the poverty level and a group of couples living below the poverty level. 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. Assume that these scores are normally distributed and that the variances of the scores are the same among couples living above the poverty level as among couples living below the poverty level. The psychologist thinks that couples living above the poverty level will have greater relationship satisfaction than couples living below the poverty level. He identifies the null and alternative hypotheses as: H₀: μcouples living above the poverty level ___ μcouples living below the poverty level H1: μcouples living above the poverty level ___ μcouples living below the poverty level This is a ___ tailed test. The psychologist collects the data. A group of 39 couples living above the poverty level scored an average of 51.1 with a sample standard deviation of 9 on the Marital Satisfaction Inventory. A group of 31 couples living below the poverty level scored an average of 45.2 with a sample standard deviation of 12. Use the t distribution table. To use the table, you will first need to calculate the degrees of freedom. The degrees of freedom are ___. With alpha = .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 ___. To calculate the t statistic, you first need to calculate the estimated standard error of the difference in means. To calculate this estimated standard error, you first need to calculate the pooled variance. The pooled variance is . The estimated standard error of the difference in means is ___. (Hint: For the most precise results, retain four decimal places from your calculation of the pooled variance to calculate the standard error.) Calculate the t statistic. The t statistic is ___ . (Hint: For the most precise results, retain four decimal places from your previous calculation to calculate the t statistic.) The t statistic ___ lie in the critical region for a one - tailed hypothesis test. Therefore, the null hypothesis Is __. The psychologist ___ conclude that couples living above the poverty level have greater relationship satisfaction than couples living below the poverty level.