Question

(Ex 8.44) Read problem 8.44 and run a test concerning the proportion of defective robots with…

(Ex 8.44) Read problem 8.44 and run a test concerning the proportion of defective
robots with a=0.05.

( this is the problem): 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 500 cables.
The cables were examined and there were 15 defectives. If
human assemblers have a defect rate of .035 (3.5%), does this
data support the hypothesis that the proportion of defectives
is lower for robots than humans? Use a .01 significance level.

a. State the null and alterative hypotheses.

b. Calculate the test statistic.

c. Give a p-value corresponding to the test.

d. Make a conclusion and interpret the results.

Solutions

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