11.9 The Bureau of Labor Statistics gathers data about employment in the United States. A sample is taken to calculate the number of U.S. citizens working in one of several industry sectors over time. Table 11.16 shows the results: Industry Sector Nonagriculture wage and salary Goods-producing, excluding agriculture Services-providing Agriculture, forestry, fishing, and hunting Nonagriculture self-employed and unpaid family worker Secondary wage and salary jobs in agriculture and private household industries Secondary jobs as a self-employed or unpaid family worker Total Table 11.16 2000 2010 2020 Total 13,243 13,044 15,018 41,305 2,457 1,771 1,950 6,178 10,786 11,273 13,068 35,127 240 214 201 655 931 894 972 2,797 14 36 196 144 152 492 27,867 27,351 31,372 86,590 11 11 We want to know if the change in the number of jobs is independent of the change in years. State the null and alternative hypotheses and the degrees of freedom.

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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The Bureau of Labor Statistics gathers data about employment in the United States. A sample is taken to calculate the number of U.S. citizens working in one of several industry sectors over time. Table 11.16 shows the results:

Industry Sector 2000 2010 2020 Total
Nonagriculture wage and salary 13,243 13,044 15,018 41,305
Goods-producing, excluding agriculture 2,457 1,771 1,950 6,178
Services-providing 10,786 11,273 13,068 35,127
Agriculture, forestry, fishing, and hunting 240 214 201 655
Nonagriculture self-employed and unpaid family worker 931 894 972 2,797
Secondary wage and salary jobs in agriculture and private household
industries 14 11 11 36
Secondary jobs as a self-employed or unpaid family worker 196 144 152 492
Total 27,867 27,351 31,372 86,590


Table 11.16


We want to know if the change in the number of jobs is independent of the change in years. State the null and alternative hypotheses and the degrees of freedom.

11.9 The Bureau of Labor Statistics gathers data about employment in the United States. A sample is taken to
calculate the number of U.S. citizens working in one of several industry sectors over time. Table 11.16 shows the
results:
Industry Sector
Nonagriculture wage and salary
Goods-producing, excluding agriculture
Services-providing
Agriculture, forestry, fishing, and hunting
Nonagriculture self-employed and unpaid family worker
Secondary wage and salary jobs in agriculture and private household
industries
Secondary jobs as a self-employed or unpaid family worker
Total
Table 11.16
2000 2010 2020 Total
13,243 13,044 15,018 41,305
2,457 1,771 1,950 6,178
10,786 11,273 13,068 35,127
240 214 201 655
931
894
972
2,797
14
36
196
144
152 492
27,867 27,351 31,372 86,590
11
11
We want to know if the change in the number of jobs is independent of the change in years. State the null and
alternative hypotheses and the degrees of freedom.
Transcribed Image Text:11.9 The Bureau of Labor Statistics gathers data about employment in the United States. A sample is taken to calculate the number of U.S. citizens working in one of several industry sectors over time. Table 11.16 shows the results: Industry Sector Nonagriculture wage and salary Goods-producing, excluding agriculture Services-providing Agriculture, forestry, fishing, and hunting Nonagriculture self-employed and unpaid family worker Secondary wage and salary jobs in agriculture and private household industries Secondary jobs as a self-employed or unpaid family worker Total Table 11.16 2000 2010 2020 Total 13,243 13,044 15,018 41,305 2,457 1,771 1,950 6,178 10,786 11,273 13,068 35,127 240 214 201 655 931 894 972 2,797 14 36 196 144 152 492 27,867 27,351 31,372 86,590 11 11 We want to know if the change in the number of jobs is independent of the change in years. State the null and alternative hypotheses and the degrees of freedom.
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