Question

A publisher reports that 51% of their readers own a laptop. A marketing executive wants to...

A publisher reports that 51% 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 220 found that 47% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

= 0.51

1 - = 0.49

n = 220

Point estimate = sample proportion = = 0.47

Test statistics

z = ( - ) / *(1-) / n

= ( 0.47 - 0.51) / (0.51*0.49) /220

= -1.19

The value of test statistic is -1.19

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