The table shows the average hours worked per week and the numbers of on-the-job injuries for a random sample of U.S. companies in a recent year. At \(\alpha=0.10\), 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 worked 46 46 Injuries 22 43 41 Hours 45 worked 25 40 40 41 42 45 45 18 17 20 20 46 46 Injuries 27 29 29 47 17 29 29 47 17 222 22 29 28 29 46 46 46 30 29 29 29 29 49 44 42 24 45 44 44 26 26 25 50 50 42 41 42 30 30 30 23 22 23 Hours worked 41 41 41 41 40 40 39 38 39 39 Injuries 21 19 18 18 17 16 16 16 16 16