The table shows the average hours worked per week and the numbers of on-the-job injuries for a random sample of U.S. construction companies in a recent year. At \(\alpha=0.05\), can you conclude that there is a significant correlation between average hours worked and the number of on-the-job injuries?

When you are testing the significance of the Spearman rank correlation coefficient and the sample size \(n\) is greater than 30, you can use the expression below to find the critical value.
\[
\frac{ \pm z}{\sqrt{n-1}}, z \text { corresponds to the level of significance }
\]
Test the Spearman rank correlation coefficient.

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Hours 38 38 37 38 38 worked 40 40 39 39 39 40 39 41 Injuries 11 11 9 10 10 17 15 14 14 16 15 17 Hours 41 42 41 41 41 42 42 42 42 41 41 39 worked Injuries 17 21 18 18 18 22 221 19 21 18 17 12 37 37 8 7 00 Hours 38 38 39 39 36 37 36 37 37 37 worked Injuries 12 11 13 12 6 6 6 9 7