Data were collected on lost-time accidents (mean work-hours lost per month over a period of 1 year) before and after an industrial safety program was implemented at six industrial plants. | Plant Number | 1 | 2 | 3 | 4 | 5 | 6 | |--------------|----|----|----|----|----|----| | Before Program | 38 | 66 | 42 | 72 | 59 | 29 | | After Program | 33 | 58 | 45 | 63 | 52 | 31 | --- **Do the data provide sufficient evidence to indicate whether the safety program was effective in reducing lost-time accidents? Test using \( \alpha = 0.01 \). (Use \( \mu_d = \mu_{\text{before}} - \mu_{\text{after}} = \mu_d \))** 1. **State the null and alternative hypotheses.** - \( H_0 : \mu_d = 0 \) versus \( H_a : \mu_d \neq 0 \) - \( H_0 : \mu_d = 0 \) versus \( H_a : \mu_d < 0 \) - \( H_0 : \mu_d = 0 \) versus \( H_a : \mu_d > 0 \) - \( H_0 : \mu_d < 0 \) versus \( H_a : \mu_d > 0 \) - \( H_0 : \mu_d \neq 0 \) versus \( H_a : \mu_d = 0 \) 2. **State the test statistic.** (Round your answer to three decimal places.) - \( t = \_\_\_\_\_ \) 3. **State the rejection region.** (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) - \( t > \_\_\_\_\_ \) - \( t < \_\_\_\_\_ \) 4. **State the conclusion.** - \( H_0 \) is not rejected. There is insufficient evidence to indicate that the safety program was effective in reducing lost-time accidents. - \( H_0 \) is rejected. There is insufficient evidence to indicate that the safety program was effective in reducing lost-time accidents.