Test of Independence · Try It 2

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. shows the results:

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

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §11.3 Test of Independence · Try It 2