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 α = 0.05.     Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 40 42 51 55 64 55 48 44 Exit failures 47 55 56 57 57 47 54 46   (b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)   tcalc _____           (c) Find the critical value tcrit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)   tcrit ________          (d) Find the p-value. (Round your answer to 4 decimal places.)   p-value  _______

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 α = 0.05.
 

(b) Find the test statistic t_calc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)
 
t_calc _____        
 
(c) Find the critical value t_crit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)
 
t_crit ________       
 
(d) Find the p-value. (Round your answer to 4 decimal places.)
 
p-value  _______