In a Hypothesis Test for the Population Variance, the Hypotheses $H _ { 0 } : \sigma ^ { 2 } = 25$

Multiple Choice

In a hypothesis test for the population variance, the hypotheses are: $H _ { 0 } : \sigma ^ { 2 } = 25$ . $H _ { 1 } : \sigma ^ { 2 } > 25$ . If the sample size is 15 and the test is being carried out at the 5% level of significance, the null hypothesis will be rejected if:

A) $\chi ^ { 2 } < 6.5706$ .
B) $\chi ^ { 2 } > 24.9958$ .
C) $\chi ^ { 2 } < 7.2609$ .
D) $\chi ^ { 2 } > 23.6848$ .