Suppose a large shipment of microwave ovens contained 12% defectives. If a sample of size 474 is selected, what is the probability that the sample proportion will be greater than 14%

And using the z score given by:

Where:

If we find the z score for we got:

So we want to find this probability:

And using the complement rule and the normal standard distribution and excel we got:

Step-by-step explanation:

For this case we have the proportion of interest given . And we have a sample size selected n = 474

The distribution of is given by:

We want to find this probability:

And using the z score given by:

Where:

If we find the z score for we got:

So we want to find this probability:

And using the complement rule and the normal standard distribution and excel we got: