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In: Statistics and Probability

same in 1950 and 2000, or was it higher in one of these years than the...

same in 1950 and 2000, or was it higher in one of these years than the other? To investigate this question, a simple random sample of 500 Californians was selected from the 1950 Census, and an independent random sample of 500 Californians was selected from the 2000 Census. 1. Does this study involve random sampling, random assignment, both or neither? Explain 2. State the appropriate null and alternative hypothesis, in symbols and in words. It turned out that 219 of the 500 Californians in the 1950 sample had been born in California, compared to 258 of the 500 Californians in the 2000 sample. 3. Comment on whether the technical conditions of the two –sample Z-test are satisfied 4. Use these sample data to calculate the test statistic and p-value. 5. Do the two samples proportions differ significantly at α=0.05? 6. Draw your conclusion on this research.

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