Question

​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 522 randomly selected adults showed that 64​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Answer 1

6.3972

Explanation:

This is a normal distribution problem.

-We claim that most adults are more likely to erase their data;

`p_o>0.5\\\\H_o:p>0.5`

-The test statistic for a stated hypothesis for proportions is given by the formula:

`z=\frac{\hat p -p_o}{\sqrt{(p_o(1-p_o)/(n)}}`

Given the size of the random sample is 522 and that 62% of them are susceptible to erasing their data.

-Let
`\hat p` be the sample proportion. The value of the test statistic :

`z=\frac{0.64-0.5}{\sqrt{(0.5* 0.5)/(522)}}\\\\=6.3972`

Hence, the test statistic is z=6.3972