Question

A factory wants to determine the effectiveness of a new shop floor safety program that they recently implemented. The company implements the safety program at 12 of its factories and collects annual shop floor accident incidences both before and after the safety program was put into operation in these 12 factories.

1-Specify the competing Null and Alternate hypotheses that you will use to test the effectiveness of the shop floor safety program

Null Hypothesis

Alternative Hypothesis

2-Is this a one-tailed test or a two-tailed test? Explain why.

3-Is this test of “independent samples” or “dependent samples”? Explain why.

4-calculate the value of the t statistic and the appropriate p-value

5-At the 99% confidence level (alpha = 0.01), does the data support the success of the shop floor safety program? Explain how you came to this conclusion.

Factory #	Accidents Before	Accidents After
1	100	98
2	90	88
3	94	90
4	85	86
5	70	67
6	83	80
7	88	90
8	75	70
9	65	62
10	58	60
11	67	60
12	104	98

Answer 1

Complete solution is given in attached images:

Thank You.