A publisher reports that 31% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 100 found that 21% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.

Since is a bilateral test the p value would be:  

Step-by-step explanation:

Information given

n=100 represent the random sample taken

estimated proportion of the readers owned a particular make of car

is the value that we want to test

z would represent the statistic

represent the p value

Hypothesis to test

We need to conduct a hypothesis in order to test if the true proportion is 0.31 or no.:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And replacing we got:

Since is a bilateral test the p value would be:  

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.