A publisher reports that 40% 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 200 found that 31% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.

Step-by-step explanation:

Given

--- proportion of population

-- samples

-- proportion of samples

Required

Determine the p value

First, calculate the standard deviation ()

Next, we calculate the z score

From the z table, the p value of is: 0.9953

Hence:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: