Step 1 :The test statistic for a proportion is calculated using the formula: \(Z = \frac{{\hat{p} - p}}{{\sqrt{\frac{{p(1 - p)}}{n}}}}\) where \(\hat{p}\) is the sample proportion, p is the hypothesized population proportion, and n is the sample size.
Step 2 :In this case, the hypothesized population proportion (p) is not given. However, since the claim is that 'most' adults would erase their information, we can assume that p = 0.5 (i.e., 50%). The sample proportion (\(\hat{p}\)) is 0.55 (or 55%) and the sample size (n) is 539.
Step 3 :Let's plug these values into the formula and calculate the test statistic.
Step 4 :\(\hat{p} = 0.55\)
Step 5 :p = 0.5
Step 6 :n = 539
Step 7 :Z = \(\frac{{0.55 - 0.5}}{{\sqrt{\frac{{0.5(1 - 0.5)}}{539}}}}\)
Step 8 :\(\boxed{Z \approx 2.32}\)