Ray Pope

12/19/2023 · Senior High School

In a test of the hypothesis \( H_{0}: \mu=10 \) versus \( H_{a}: \mu \neq 10 \), a sample of \( n=50 \) observations possessed mean \( \bar{x}=10.8 \) and standard deviation \( s=3.2 \). Find and interpret the \( p \)-value for this test. The \( p \)-value for this test is 0.0771 . (Round to four decimal places as needed.) Interpret the result. Choose the correct answer below. A. There is insufficient evidence to reject \( H_{0} \) for \( \alpha=0.15 \). B. There is insufficient evidence to reject \( H_{0} \) for \( \alpha>0.08 \). C. There is sufficient evidence to reject \( H_{0} \) for \( \alpha<0.08 \). D. There is sufficient evidence to reject \( H_{0} \) for \( \alpha>0.08 \).