In a hypothesis test for the population variance,the hypotheses are H₀: $\sigma$² = 30 vs.H₁: $\sigma$²

Question

In a hypothesis test for the population variance,the hypotheses are H₀: $\sigma$² = 30 vs.H₁: $\sigma$² < 30.If the sample size is 20 and the test is being carried out at the 5% level of significance,the null hypothesis is rejected if: A) $\chi$² < 30.144. B) $\chi$² > 10.851. C) $\chi$² < 10.117. D) $\chi$² > 31.410.

Quizplus · Accepted Answer

The null hypothesis is rejected if the calculated test statistic is less than the critical value. For a one-tailed test at 5% level of significance with 20 degrees of freedom, the critical value is 10.117. Therefore, if the calculated test statistic is less than 10.117, the null hypothesis is rejected.

In a Hypothesis Test for the Population Variance,the Hypotheses Are σ\sigmaσ

In a Hypothesis Test for the Population Variance,the Hypotheses Are $\sigma$