Question

A publisher reports that 44% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 350 found that 40% of the readers owned a personal computer. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answer 1

P (z) = -1.5094

Explanation:

We have to find P-value (that means we have to calculate the test value to evaluate a proportional hypothesis

From problem statement

P₀ = 0,44 44 % from publisher report

The claim :

350 = n random sample

P = 0,40 40 %

To calculate P value

P ( z ) = ( P - P₀ ) / √(P₀*Q₀)/n

then P ( z ) = - 0.04 / √(0,44)(0,56)/350 P(z) = - 0.04/0,02

P (z) = -1.5094