A Study Found That the Divorce Rate D (Given as a Percentage)

question 59

Multiple Choice

A study found that the divorce rate d (given as a percentage) appears to depend on the ratio r of available men to available women. This function can be approximated by $$d ( r ) = \left\{ \begin{array} { l l } - 40 r + 100 & \text { if } r \leq 1.3 \\\frac { 101 r } { 4 } - \frac { 118 } { 4 } & \text { if } r > 1.3\end{array} \right.$$
There are currently 0.8 available men per available woman in Littleville, and this ratio is increasing by 0.1 per year. At what percent is the divorce rate decreasing

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Definitions:

Sample Standard Deviations

A measure that quantifies the amount of variation or dispersion of a set of sample data values.

Margin Of Error

An estimate of the amount by which a sample statistic differs from a population parameter, expressed often as a confidence interval.

Equal Sample Sizes

A condition in statistical analysis where the number of data points or observations in each group or category being compared is the same.

Population Variances

A measure of the dispersion or spread of data points in a population, indicating how much the data varies from the mean of the population.