Question

(c) compute the p - value. round the answer to at least four decimal places.
p - value = 0.0222
part: 3 / 5
part 4 of 5
(d) determine whether to reject ( h_0 ).
at the ( alpha = 0.10 ) level, select ( > ) the null hypothesis ( h_0 ).
at the ( alpha = 0.01 ) level, reject do not reject the null hypothesis ( h_0 ).

Explanation:

Step1: Analyze α=0.10 case

Compare p - value (0.0222) with α=0.10. Since \( 0.0222 < 0.10 \), we reject \( H_0 \) at α=0.10.

Step2: Analyze α=0.01 case

Compare p - value (0.0222) with α=0.01. Since \( 0.0222 > 0.01 \), we do not reject \( H_0 \) at α=0.01.

Answer:

At the \( \alpha = 0.10 \) level, \(\boldsymbol{\text{reject}}\) the null hypothesis \( H_0 \).
At the \( \alpha = 0.01 \) level, \(\boldsymbol{\text{do not reject}}\) the null hypothesis \( H_0 \).