Question

​Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 677 randomly selected adults showed that 49.9​% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly​ high, then state a conclusion about the original claim. Find the value of the test statistic.

Answer 1

Answer: The value of test statistic is -0.052.

Step-by-step explanation:

Since we have given that

n = 677

and

$\bar {p}=0.499$

Claim that Most of the adults erase all of their personal details online.

p = 0.5

q = 1-0.5 = 0.5

So, the test statistic would be

$z=\dfrac{\bar{p}-p}{\sqrt{\dfrac{pq}{n}}}\\\\z=\dfrac{0.499-0.5}{\sqrt{\dfrac{0.5\times 0.5}{677}}}\\\\z=\dfrac{-0.001}{0.0192}\\\\z=-0.052$