Question

​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 674674 randomly selected adults showed that 6060​% of them would erase all of their personal information online if they could. Find the value of the test statistic. The value of the test statistic is

Answer 1

5.192

Step-by-step explanation:

This is a two tailed test hence the null and alternative hypothesis will be

`H_o: P=0.5`

`H_a: P>0.5`

Sample size, n=674

Sample proportion
`\bar p=0.60`

Z test statistic formula for one sample is given by

`Z=\frac {\bar p-P}{\sqrt{\frac {P*(1-P)}{n}}}`

Substituting the values given then

`Z=\frac {0.6-0.5}{\sqrt{\frac {0.5* (1-0.5)}{674}}}=5.192302\approx 5.192`