In a hypothesis test for the population variance, the hypotheses are: $H _ { 0 } : \sigma ^ { 2 } = 175$ $H _ { 1 } : \sigma ^ { 2 } \neq 175$ If the sample size is 25 and the test is being carried out at the 5% level of significance, the rejection region will be: A) $\chi ^ { 2 }$ 33.1963. B) $\chi ^ { 2 }$ 39.3641. C) $\chi ^ { 2 }$ 34.3816. D) $\chi ^ { 2 }$

Question

In a hypothesis test for the population variance, the hypotheses are: $H _ { 0 } : \sigma ^ { 2 } = 175$ $H _ { 1 } : \sigma ^ { 2 } \neq 175$ If the sample size is 25 and the test is being carried out at the 5% level of significance, the rejection region will be: A) $\chi ^ { 2 }$ < 15.6587 or $\chi ^ { 2 }$ > 33.1963. B) $\chi ^ { 2 }$ <12.4011 or $\chi ^ { 2 }$ >39.3641. C) $\chi ^ { 2 }$ < 16.4734 or $\chi ^ { 2 }$ >34.3816. D) $\chi ^ { 2 }$ < 13.1197 or $\chi ^ { 2 }$ <37.6525.

Quizplus · Accepted Answer

The rejection region for a two-tailed chi-square test with 24 degrees of freedom (n-1) at the 5% significance level is determined by the critical values $\chi^2_{0.025, 24}$ and $\chi^2_{0.975, 24}$, which are approximately 12.4011 and 39.3641, respectively.

In a Hypothesis Test for the Population Variance, the Hypotheses H0:σ2=175H _ { 0 } : \sigma ^ { 2 } = 175H0​:σ2=175

In a Hypothesis Test for the Population Variance, the Hypotheses $H _ { 0 } : \sigma ^ { 2 } = 175$