Step 1 :The null hypothesis, denoted by H0, is a statement of no effect or no difference and is assumed to be true until we have enough evidence to decide otherwise. The alternative hypothesis, denoted by H1, is a statement that indicates the presence of an effect or a difference. In this case, the null hypothesis would be that 51% or less of adults would erase all of their personal information online if they could, and the alternative hypothesis would be that more than 51% of adults would do so.
Step 2 :The P-value is a measure of the probability that we would observe the data we have, or data more extreme, if the null hypothesis were true. If the P-value is less than or equal to the significance level (α), we reject the null hypothesis in favor of the alternative hypothesis. If the P-value is greater than α, we do not have enough evidence to reject the null hypothesis.
Step 3 :In this case, the P-value is 0.0185 and the significance level is 0.05. Therefore, the P-value is less than the significance level.
Step 4 :Final Answer: \(\boxed{\text{B. Reject } H_{0} \text{ because the P-value is less than or equal to } \alpha}\)