A Test Is Made Of $H _ { 0 } : \mu = 50$

Multiple Choice

A test is made of $H _ { 0 } : \mu = 50$ versus $H _ { 1 } : \mu \neq 50$ . A sample of size $n = 71$ is drawn, and $\bar { x } = 56$ . The population standard deviation is $\sigma = 29$ . Compute the value of the test statistic $\mathrm { z }$ and determine if $H _ { 0 }$ is rejected at the $\alpha = 0.05$ level.

A) $1.74 , H _ { 0 }$ rejected
B) $0.21 , H _ { 0 }$ not rejected
C) $0.21 , H _ { 0 }$ rejected
D) $1.74 , H _ { 0 }$ not rejected