​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

Respuesta :

Answer:

5.192

Explanation:

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

[tex]H_o: P=0.5[/tex]

[tex]H_a: P>0.5[/tex]

Sample size, n=674

Sample proportion [tex]\bar p=0.60[/tex]

Z test statistic formula for one sample is given by

[tex]Z=\frac {\bar p-P}{\sqrt{\frac {P\times(1-P)}{n}}}[/tex]

Substituting the values given then

[tex]Z=\frac {0.6-0.5}{\sqrt{\frac {0.5\times (1-0.5)}{674}}}=5.192302\approx 5.192[/tex]