Less than 23% of workers indicate that they are dissatisfied with their job. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).

Answer 1

To express the null and alternative hypotheses in symbolic form for the claim that less than 23% of workers are dissatisfied with their job, we can define the population proportion of workers who are dissatisfied as \( p \).

Null Hypothesis (\( H_0 \)): This states that the proportion of workers who are dissatisfied is equal to or greater than 23%.

\[ H_0: p \geq 0.23 \]

Alternative Hypothesis (\( H_a \)): This states that the proportion of workers who are dissatisfied is less than 23%.

\[ H_a: p < 0.23 \]

Thus, the symbolic expressions for the hypotheses are:

• \( H_0: p \geq 0.23 \)
• \( H_a: p < 0.23 \)