Null and Alternative Hypotheses

Question

At least 82% of workers indicate that they are satisfied with their job. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).

Answer 1

Hi Bailey,

Null hypothesis (H₀) always means that: null, as in nothing. Alternative hypothesis (H_A) means “something.” It can be greater than, less than, or simply “not equal to.” Here, you are asked about a population proportion, expressed as a percentage. The phrase “at least” implies “greater than,” so:

H₀: P<=82%

H_A: P>82%

I hope this helps.