Answer:
6.3972
Step-by-step explanation:
This is a normal distribution problem.
-We claim that most adults are more likely to erase their data;
[tex]p_o>0.5\\\\H_o:p>0.5[/tex]
-The test statistic for a stated hypothesis for proportions is given by the formula:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o(1-p_o}{n}}}[/tex]
Given the size of the random sample is 522 and that 62% of them are susceptible to erasing their data.
-Let [tex]\hat p[/tex] be the sample proportion. The value of the test statistic :
[tex]z=\frac{0.64-0.5}{\sqrt{\frac{0.5\times 0.5}{522}}}\\\\=6.3972[/tex]
Hence, the test statistic is z=6.3972
