Step 1 :Given that the significance level (\(\alpha\)) is 0.05 and the P-value is 0.0319.
Step 2 :The null hypothesis (\(H_0\)) is that the proportion of adults who would erase all of their personal information online if they could is equal to or greater than 46%.
Step 3 :The alternative hypothesis is the original claim that less than 46% of adults would do so.
Step 4 :The P-value is the probability of obtaining a result as extreme as, or more extreme than, the observed result, under the assumption that the null hypothesis is true.
Step 5 :If the P-value is less than or equal to the significance level, we reject the null hypothesis. If the P-value is greater than the significance level, we fail to reject the null hypothesis.
Step 6 :In this case, the P-value (0.0319) is less than the significance level (0.05).
Step 7 :\(\boxed{\text{Therefore, we reject } H_0 \text{ because the P-value is less than or equal to } \alpha.}\)