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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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.

Jaylen Fountain · Accepted Answer

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

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

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