You are interested in determining whether there is strong evidence in support of the claim that less than 40% of retired adults have a part-time job. To answer this question, what null and alternative hypotheses should you test? A)H₀: p = 0.4 versus Ha: p 0.4 B)H₀: p = 0.4 versus Ha: p

Question

You are interested in determining whether there is strong evidence in support of the claim that less than 40% of retired adults have a part-time job. To answer this question, what null and alternative hypotheses should you test? A)H₀: p = 0.4 versus Ha: p > 0.4 B)H₀: p = 0.4 versus Ha: p < 0.4 C)H₀: p = 0.4 versus Ha: p ≠ 0.4 D)H₀: p < 0.4 versus Ha: p > 0.4 E)H₀: p < 0.4 versus Ha: p = 0.4

Quizplus · Accepted Answer

The null hypothesis (H0) is a statement of no effect or no difference and is tested against the alternative hypothesis (Ha), which is the statement you want to be able to conclude is true. In this case, since you want to determine if less than 40% of retired adults have a part-time job, your null hypothesis should state that the proportion (p) is equal to 0.4 (assuming no difference from 40%), and your alternative hypothesis should reflect the claim you're testing for, which is that the proportion is less than 0.4. Therefore, the correct hypotheses to test are H0: p = 0.4 versus Ha: p < 0.4.

You Are Interested in Determining Whether There Is Strong Evidence