Question

A publisher reports that 78% 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 120 found that 71% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.

Answer 1

Let n denote the sample size;

p denote the claimed population proportion of publisher's readers who own a laptop; and

denote the sample proportion of publisher's readers who own a laptop.

Now, according to question:
n = 120 p = 78% = 0.78 = 71% = 0.71

Now, the value of the test statistic is given by:

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