A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufacturer's claim. Group of answer choices 0.3264 0.1736 0.3409 0.1591

Now we can find the p value with the following probability:

Step-by-step explanation:

Information given

n=97 represent the random sample taken

estimated proportion of defective

is the value to verify

z would represent the statistic

represent the p value

Hypothesis to tests

We want to tet if the true proportion is less than 6%, the system of hypothesis are:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

Replacing the info given we got:

Now we can find the p value with the following probability: