8:49 PM quizizz.com Searc Playing a Ga.. Paraphrasin... This Is Just... William Carl... Edpuzzle iowa housin.. Home | Hous... and alte.. 1/22 State the null and alternative hypotheses for this statement: A DTI representative wants to test at a \( 99 \% \) confidence level whether the average content of Soda \( X \) is less than 330 ml as indicated in the label. Select all correct options \[ \begin{array}{l} H_{\mathrm{o}}: \mu=330 \mathrm{ml} \\ \mathrm{H}_{\mathrm{a}}: \mu>330 \mathrm{ml} \end{array} \] \[ \begin{array}{l} H_{\mathrm{o}}: \mu=330 \mathrm{ml} \\ \mathrm{H}_{\mathrm{a}}: \mu<330 \mathrm{ml} \end{array} \] Emilio Mejia Submit

In hypothesis testing, you typically want to determine if your sample data provides enough evidence to reject the null hypothesis. In this case, the null hypothesis (\(H_o\)) would state that the average content of Soda \(X\) is equal to the label's claim of 330 ml, which means there is no effect or difference. The alternative hypothesis (\(H_a\)) suggests that the average content is less than what is indicated on the label, which is what the representative is testing for. When setting up hypotheses, one common mistake is getting the signs of the inequalities wrong. For this scenario, you’d want to ensure that your alternative hypothesis correctly reflects the nature of the claim the representative is testing, which is whether the true mean is less than 330 ml. Remember, it’s all about what you’re trying to prove with your sample data!