At least 85% of people mind if others smoke near a building entrance. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).

Question

H0 : P

H1 : P

Answer 1

To express the null and alternative hypotheses in symbolic form for the claim that at least 85% of people mind if others smoke near a building entrance, we can define \( P \) as the proportion of people who mind.

1. The null hypothesis (\( H_0 \)) states that the proportion is at least 85%: \[ H_0: P \geq 0.85 \]

2. The alternative hypothesis (\( H_1 \)) states that the proportion is less than 85%: \[ H_1: P < 0.85 \]

Thus, the hypotheses are:

• \( H_0: P \geq 0.85 \)
• \( H_1: P < 0.85 \)