A Sample Standard Deviation and Sample Size Are Given $x ^ { 2 }$

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $x ^ { 2 }$ -test to conduct the requiredhypothesis test.
- $\mathrm { s } = 4 , \mathrm { n } = 29$
$\mathrm { H } _ { 0 } : \sigma = 5.2 , \mathrm { H } _ { \mathrm { a } } : \sigma < 5.2 , \alpha = 0.025$

A) Test statistic: $X ^ { 2 } = 16.568$ . Critical value $= 44.461$ . Reject $\mathrm { H } _ { 0 }$ .
B) Test statistic: $X ^ { 2 } = 21.182$ . Critical value $= 44.461$ . Do not reject $\mathrm { H } _ { 0 }$ .
C) Test statistic: $X ^ { 2 } = 16.568$ . Critical value $= 15.308$ . Do not reject $\mathrm { H } _ { 0 }$ .
D) Test statistic: $X ^ { 2 } = 16.568$ . Critical value $= 15.308$ . Reject $\mathrm { H } _ { 0 }$ .