Questions: You wish to test the following claim (H1) at a significance level of α=0.10. Ho: μ=69.9 H1: μ<69.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 41.4 37.2 13.9 What is the test statistic for this sample? (Round intermediate values to 2 decimal places. Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null

Transcript text: You wish to test the following claim $\left(H_{1}\right)$ at a significance level of $\alpha=0.10$. \[ \begin{array}{l} H_{o}: \mu=69.9 \\ H_{1}: \mu<69.9 \end{array} \] You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: \begin{tabular}{|l|} \hline data \\ \hline 41.4 \\ \hline 37.2 \\ \hline 13.9 \\ \hline \end{tabular} What is the test statistic for this sample? (Round intermediate values to 2 decimal places. Report answer accurate to three decimal places.) test statistic = $\square$ What is the p-value for this sample? (Report answer accurate to four decimal places.) p -value = $\square$ The $p$-value is... less than (or equal to) $\alpha$ greater than $\alpha$ This test statistic leads to a decision to... reject the null accept the null fail to reject the null