A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use= 0.05.

	Truck 1	Truck 2	Truck 3	Truck 4	Truck 5	Truck 6	Truck 7	Truck 8
Entry failures	45	41	53	59	63	51	50	41
Exit failures	46	55	55	60	60	46	50	49

(a)Choose the appropriate hypotheses. Define the difference as Entry Exit. multiple choice 1

• H₀:_d= 0 versusH₁:_d 0
• H₀:_d 0 versusH₁:_d< 0
• H₀:_d 0 versusH₁:_d> 0

(b)Find the test statistict_calc.(Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) t_calc (c)Find the critical valuet_critfor= 0.05.(Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) t_crit (d)Find thep-value.(Round your answer to 4 decimal places.) p-value (e)State your conclusion. We (Click to select) fail to reject reject the null hypothesis.