According to Census data, 1950 the population of the U.S amounted to 151.3 million persons, and 13.4% of them were living in the West. In 2000, the po

Kyran Hudson 2020-12-24 Answered
According to Census data, 1950 the population of the U.S amounted to 151.3 million persons, and 13.4% of them were living in the West. In 2000, the population was 281.4 million, and 22.5% of them were living in the West. Is the difference in percentages practically significant? statistically significant? Or do these questions makes sense? Explain briefly.
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Expert Answer

Jaylen Fountain
Answered 2020-12-25 Author has 170 answers
13.4% of the population lived in the west in 1950 22.5% of the population lived in the west in 2000
We note that the difference of 22.5% - 13.4% = 9.1% is large, which implies that the difference in percentages is partically significant.
However, we can only determine whether te difference is statiscially significiant when it is apporiate to conduct a two-sample z-test and it is only approiriate to conduct the test of significane when the samples ar simple random samples.
Random sampling uses a sample size n in which every sample of size n has an equal chance of being chosen.
In this case. the samples are not simple random samples, because the samples contain all individuals in the populatons, and thus it is not approriate to determine whether the difference is statiscially significiant.
Moreover, it is not appropirate to determine whether the difference in percentages is statiscially significiant at the samples are not probability samples.
Result: Yes. Cannot be determined
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