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.

Question

Mathematics

Jenny Berry

7 January, 07:13

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.

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Answers (1)

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Bentley Glenn · Answer 1

P (z) = - 1.5094

Step-by-step 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