1. The problem states that the significance level is $\alpha = 0.05$ and the P-value from the hypothesis test is $0.2934$. 2. For hypothesis testing, we compare the P-value with $\alpha$ to decide whether to reject or fail to reject the null hypothesis $H_0$. 3. Since the P-value $0.2934$ is greater than the significance level $0.05$, we do not have enough evidence to reject the null hypothesis. 4. Therefore, for part (a), the correct conclusion is \textbf{A}: "Fail to reject $H_0$ because the P-value is greater than $\alpha$." 5. For part (b), in plain language, "Fail to reject $H_0$" means there is not sufficient evidence to support the claim. 6. The original claim is that less than 52% of adults would erase all of their personal information online if they could. 7. Since we failed to reject $H_0$, we cannot support the claim that this percentage is less than 52%. 8. Thus the correct conclusion in part (b) is \textbf{A}: "There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 52%."