A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different meth evaluators to conduct a program evaluation follow.

$\backslash$table$[[$Method $1,$Method $2,$Method $3],[66,61,56],[74,73,68],[65,75,67],[79,66,58],[78,71,57],[71,70,61]]$

Use $=0\mathrm{.}05$ and test to see whether there is a significant difference in the time required by the three methods.

State the null and alternative hypotheses.

$H_0$: Median ${?}_1=$ Median ${?}_2=$ Median ${?}_3$

$H_a$: Median ${?}_1>$ Median ${?}_2>$ Median ${?}_3$

$H_0$: Median ${?}_1=$ Median ${?}_2=$ Median ${?}_3$

$H_a$: Median ${?}_1$ Median ${?}_2$ Median ${?}_3$

$H_0$: Median ${?}_1$ Median ${?}_2$ Median ${?}_3$

$H_a$: Median ${?}_1=$ Median ${?}_2=$ Median ${?}_3$

$H_0$: Not all populations of times are identical.

$H_a$ : All populations of times are identical.

$H_0$: All populations of times are identical.

$H_a$: Not all populations of times are identical.

Find the value of the test statistic. $($Round your answer to two decimal places.$)$

$$

Find the $p-$value. $($Round your answer to three decimal places.$)$

$p-$value $=$

State your conclusion.

Reject $H_0.$ There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

Do not reject $H_0.$ There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

Do not reject $H_0.$ There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

Reject $H_0.$ There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.