1. **State the problem:** We want to test if there is a difference in the proportions of men and women who never thought about leaving their spouses. 2. **Define the proportions:** Let $p_1$ be the proportion of men who never thought about leaving their wives, and $p_2$ be the proportion of women who never thought about leaving their husbands. 3. **State the hypotheses:** - Null hypothesis $H_0$: $p_1 = p_2$ (no difference in proportions) - Alternative hypothesis $H_1$: $p_1 \neq p_2$ (there is a difference in proportions) 4. **Type of test:** This is a two-proportion z-test because we are comparing two population proportions. 5. **Summary:** - $H_0: p_1 = p_2$ - $H_1: p_1 \neq p_2$ - Test type: two-proportion z-test This sets up the framework for testing the claim that the proportions differ.