Perform the Indicated Sign Test $$\alpha$$ = 005

Perform the indicated sign test. Be sure to do the following: Identify the claim mathematically and state the null and
alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to reject
the null hypothesis and interpret the decision in the context of the original claim.
-A local school district is concerned about the number of school days missed by its teachers due to illness. A
random sample of 10 teachers is selected. The numbers of absences in one year are listed below. An incentive
program is offered in an attempt to decrease the number of days absent. The numbers of absences in the year
after the incentive program are also listed. Use the sign test to test the claim that the incentive program reduces
the number of days missed by teachers. Use $$\alpha$$ = 0.05. $\begin{array}{c}\begin{array}{l}\hline \text { Teacher } \\\hline \text { Days Absent } \\\text { Before Incentive } \\\text { Days Absent } \\\text { After Incentive }\\\hline \end{array}\begin{array}{cccccccccc}\hline 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline & & & & & & & & & \\4 & 7 & 0 & 10 & 8 & 6 & 0 & 3 & 7 & 5 \\\\3 & 6 & 0 & 8 & 7 & 4 & 1 & 2 & 5 & 5 \\\hline \end{array}\end{array}$