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The replacement level is the amount of fertility needed to keep the population t

ID: 3019924 • Letter: T

Question

The replacement level is the amount of fertility needed to keep the population the same from generation to generation. It refers to the total fertility rate that will result in a stable population without it increasing or decreasing. Demographers set the replacement level at 2.1 children per family. At this level, the population is said to be a stable population. Assuming that GSS is a sample of U.S. population.

One-Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

NUMBER OF CHILDREN

1492

1.91

1.785

.046

One-Sample Test

Test Value = 2.1

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

NUMBER OF CHILDREN

-4.092

1491

.000

-.189

-.28

-.10

           

Mean children per family variable in the sample: 1.91

Standard deviation of the variable: 1.785

T value: -4.092   Significance: .000

a. Write your conclusion: Is there a significant difference between the sample mean of children per family and the population mean? Why?

b. Is the U.S. population of a stable population? Why?

One-Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

NUMBER OF CHILDREN

1492

1.91

1.785

.046

Explanation / Answer

a.) 1.91 > .000 we reject the null hypothesis there is a significant difference between the sample mean of childern per family and the population mean

b.) U.S population is a stable population because the replacement level is the amount of fertility needed to keep the population the same from generation to generation. A population pyramid showing an unchanging pattern of fertility and mortality