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 put into effect at six industrial plants.

Plant Number 1 2 3 4 5 6

Before Program 386543715629

After Program 31 56 45 66 50 30

Do the data provide sufficient evidence to indicate whether the safety program was effective in reducing lost-time accidents? Test using= 0.01.(Use_beforeafter=_d.)

State the null and alternative hypotheses.

H₀:_d= 0 versusH_a:_d> 0

H₀:_d= 0 versusH_a:_d0

H₀:_d< 0 versusH_a:_d> 0

H₀:_d= 0 versusH_a:_d< 0

H₀:_d0 versusH_a:_d= 0

State the test statistic. (Round your answer to three decimal places.)

t=

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<

State the conclusion.

H₀is rejected. There is sufficient evidence to indicate that the safety program was effective in reducing lost-time accidents.

H₀is rejected. There is insufficient evidence to indicate that the safety program was effective in reducing lost-time accidents.

H₀is not rejected. There is sufficient evidence to indicate that the safety program was effective in reducing lost-time accidents.

H₀is not rejected. There is insufficient evidence to indicate that the safety program was effective in reducing lost-time accidents.

You may need to use the appropriateappendix tableortechnologyto answer this question.