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 1Truck 2Truck 3Truck 4Truck 5Truck 6Truck 7Truck 8Entry failures4440555662524545Exit failures5053555655505147

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(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.