A bottle maker believes that 14% of his bottles are defective. If the bottle maker is accurate, what is the probability that the proportion of defective bottles in a sample of 622 bottles would be less than 11%

And we can use the normal standard distribution table and we got:

Step-by-step explanation:

For this case we know the following info given:

represent the population proportion

represent the sample size selected

We want to find the following proportion:

For this case we can use the normal approximation since we have the following conditions:

i) np = 622*0.14 = 87.08>10

ii) n(1-p) = 622*(1-0.14) =534.92>10

The distribution for the sample proportion would be given by:

The mean is given by:

And the deviation:

We can use the z score formula given by:

And replacing we got:

And we can use the normal standard distribution table and we got:

so then what are you asking?

step-by-step explanation: