A random sample of 376 electronic components manufactured by

A random sample of 376 electronic components manufactured by a certain process are tested and 23 are found to be defective. Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence Interval Imp. Round your answer to four decimal places. Lower confidence bound=0.037 Upper confidence bound=0.085

Solution

here n=376         defectie =23

p hat =23/376= .06117

confidence interval = phat +- sqrt(phat(1-phat)/n)

substitute the value

                           =.06117 +- 1.96sqrt(.06112*.9389/376)

                        lower bound=.0370

                   upper bound=.0854

Note:-As it is said that answer should be up to four decimal place ,so put 4 decimal place to get the correct answer otherwise the answer previuosly given is correct