A researcher claims that $40\%$ of adults exercise at least three times a week. In a survey of $500$ adults, $215$ said they exercise at least three times a week. At the $0.01$ significance level, test the researcher's claim.

Reject the null hypothesis. There is statistically significant evidence that the proportion is different from $0.4$.

Fail to reject the null hypothesis. There is no statistically significant evidence that the proportion is different from $0.4$.

Reject the null hypothesis. There is statistically significant evidence that the proportion is less than $0.4$.

Fail to reject the null hypothesis. There is statistically significant evidence that the proportion is greater than $0.4$.