1. By predicting fertility and divorce rates as well as life-styles economic, demographers attempt to forecast the economy during the next decade and beyond -- predicting which industries will flourish and which will falter. The following table gives a distribution of age groups in the U.S. for the year 2030. Age Group Relative Age Group Relative frequency frequency 0-9.5 0.12 49.5-59.5 0.12 9.5-19.5 59.5-69.5 0.08 19.5-29.5 69.5-79.5 0.06 29.5-39.5 79.5-89.5 0.03 39.5-49.5 0.16 c) What proportion of Americans are expected to be from 19.5 years to 39.5 years? 0.14 k 0.16

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### Demographic Predictions and Economic Forecasting

**1. By predicting fertility and divorce rates as well as lifestyle economic conditions, demographers attempt to forecast the economy during the next decade and beyond—predicting which industries will flourish and which will falter. The following table gives a distribution of age groups in the U.S. for the year 2030.**

#### Age Distribution Table for 2030

| Age Group      | Relative Frequency |
|----------------|--------------------|
| 0-9.5          | 0.12               |
| 9.5-19.5       | 0.14               |
| 19.5-29.5      | k                  |
| 29.5-39.5      | 0.16               |
| 39.5-49.5      | 0.16               |
| 49.5-59.5      | 0.12               |
| 59.5-69.5      | 0.08               |
| 69.5-79.5      | 0.06               |
| 79.5-89.5      | 0.03               |

**c) What proportion of Americans are expected to be from 19.5 years to 39.5 years?**

To determine the proportion of Americans within the age range from 19.5 years to 39.5 years in 2030, add the relative frequency of the age groups 19.5-29.5 and 29.5-39.5.

Let `k` be the relative frequency for the age group 19.5-29.5.

Proportion = k + 0.16
Transcribed Image Text:### Demographic Predictions and Economic Forecasting **1. By predicting fertility and divorce rates as well as lifestyle economic conditions, demographers attempt to forecast the economy during the next decade and beyond—predicting which industries will flourish and which will falter. The following table gives a distribution of age groups in the U.S. for the year 2030.** #### Age Distribution Table for 2030 | Age Group | Relative Frequency | |----------------|--------------------| | 0-9.5 | 0.12 | | 9.5-19.5 | 0.14 | | 19.5-29.5 | k | | 29.5-39.5 | 0.16 | | 39.5-49.5 | 0.16 | | 49.5-59.5 | 0.12 | | 59.5-69.5 | 0.08 | | 69.5-79.5 | 0.06 | | 79.5-89.5 | 0.03 | **c) What proportion of Americans are expected to be from 19.5 years to 39.5 years?** To determine the proportion of Americans within the age range from 19.5 years to 39.5 years in 2030, add the relative frequency of the age groups 19.5-29.5 and 29.5-39.5. Let `k` be the relative frequency for the age group 19.5-29.5. Proportion = k + 0.16
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