Example: Scientists think that robots will play an increasingly crucial role in

factories over the next $20$ years. Suppose that in an experiment to determine

whether the use of robots to weave computer cables is feasible, a robot was used

to assemble $500$ cables. The cables were examined, and $14$ defectives were found.

If human assemblers have a defect rate of $3\%,$ does this data support the

hypothesis that the rate of defectives is lower for robots than for humans? Use $$

$=0\mathrm{.}01$