(Solved): ( 3 points) Suppose that a sample has been drawn from a normal population to conduct the hypothesis ...

( 3 points) Suppose that a sample has been drawn from a normal population to conduct the hypothesis test $\begin{array}{l}{H}_0:{\sigma }^2=28\\ H_1:{\sigma }^2>28\end{array}$ Assume that you know that the sample variance is $s^2=55$, the sample size is $n=22$, and take $\alpha =0.05$. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form $(-\infty ,a)$ is expressed (-infty, a), an answer of the form $(b,\infty )$ is expressed (b, infty), and an answer of the form $(-\infty ,a)\cup (b,\infty )$ is expressed (-infty, a) $\cup (b$, infty). B. The rejection region for the standardized test statistic: C. Your decision for the hypothesis test: A. Do Not Reject $H_1$. B. Do Not Reject $H_0$. C. Reject $H_1$. D. Reject $H_0$.