A publisher reports that 37% of their readers own a laptop. 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 30% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.

Question

Mathematics

Atticus Gay

9 June, 13:30

A publisher reports that 37% of their readers own a laptop. 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 30% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.

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Answers (1)

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Bailey Tran · Answer 1

p (s) = - 2.71

Step-by-step explanation:

Test of proportion

sample size n = 350

Publisher report 37 % 0,37

Sample proportion 30 % 0.30

p (s) = [ (p - p₀) / √ (p₀q₀/n ] ⇒ p (s) = - 0.07 * (18.70) / √ (0.37) * (0.63)

p (s) = - 1.3095/0.4828

p (s) = - 2.71