Question

compute the p-value. round the answer to four decimal places.
p-value = 0.0139
part: 3 / 5
part 4 of 5
determine whether to reject h₀.
since p select 0.10, we reject the null hypothesis h₀ at α=0.10.
since p select 0.01, we do not reject the null hypothesis h₀ at α=0.01.

Explanation:

Step1: Analyze for α = 0.10

Compare \( P\text{-value} = 0.0139 \) with \( \alpha = 0.10 \). Since \( 0.0139 < 0.10 \), we reject \( H_0 \) at \( \alpha = 0.10 \).

Step2: Analyze for α = 0.01

Compare \( P\text{-value} = 0.0139 \) with \( \alpha = 0.01 \). Since \( 0.0139 > 0.01 \), we do not reject \( H_0 \) at \( \alpha = 0.01 \).

Answer:

For \( \alpha = 0.10 \): reject
For \( \alpha = 0.01 \): do not reject