Suppose that a sample has been drawn from a normal population to conduct the hypothesis test

$\displaystyle \qquad \begin{array}{rrcl} H_0: & \sigma^2 & = & 24 \\ H_1: & \sigma^2 & > & 24 \\ \end{array}$

Assume that you know that the sample variance is $s^2=46$, the sample size is $n = 21$, and take $\alpha = 0.08$. 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)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test:

A. Do Not Reject $H_0$.
B. Do Not Reject $H_1$.
C. Reject $H_1$.
D. Reject $H_0$.