Using 3 The Chi-Square Distribution Table, $\sigma^{2}=225, \alpha=0.10, n=23$, and a two-tailed test, find the following:
Part: $0 / 3$
Part 1 of 3
(a) State the hypotheses
Answer
\(\boxed{H_{0}: \sigma^{2}=225, H_{1}: \sigma^{2}\neq225}\)
Step 1 ：The question is asking for the hypotheses for a two-tailed test. In a two-tailed test, we are testing for the possibility of the relationship in both directions.
Step 2 ：The null hypothesis (H0) is that the population variance is equal to the given variance.
Step 3 ：The alternative hypothesis (H1) is that the population variance is not equal to the given variance.
Step 4 ：The null hypothesis, \(H_{0}\), is \(\sigma^{2}=225\).
Step 5 ：The alternative hypothesis, \(H_{1}\), is \(\sigma^{2}\neq225\).
Step 6 ：\(\boxed{H_{0}: \sigma^{2}=225, H_{1}: \sigma^{2}\neq225}\)
