Scientists think that robots will play a crucial role in factories in the next s

Question

Scientists think that robots will play a crucial role in factories in the next several decades. Suppose that in an experiment to determine whether the use of robots to weave computer cables is feasible, a robot was used to assemble 499 cables. The cables were examined and there were 13 defectives. If human assemblers have a defect rate of 0.035 (3.5%), does this data support the hypothesis that the proportion of defectives is lower for robots than humans? Use a 0.01 significance level State the appropriate null and alternative hypotheses Ho: p 0.035 Ha: P

Explanation / Answer

Answer : P value = 0.14

With z value -1.0939 (one tailed) from the standard normal table we get p value = 0.137

So, p value = 0.14

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