Answer: We reject the null hypothesis.
Explanation:
Given : Significance level :
![\alpha=0.01](https://img.qammunity.org/2020/formulas/business/high-school/6565p2iepy5xt70zclj08f8hu5r9df3d20.png)
Let p represents the proportion of the settled medical malpractice suits.
Given claim : The percentage of settled medical malpractice suits is at least 50%.
i.e.
![p\geq 0.5](https://img.qammunity.org/2020/formulas/mathematics/college/1px8ykhqri0zblfwe5vqq8eb4o0m9wjt99.png)
Thus,
![H_0:p\geq0.5\\\\H_a:p<0.5](https://img.qammunity.org/2020/formulas/mathematics/college/9raut5g1halpa5phtk738jtnrkrewdb7c2.png)
We know that when the calculated p-value is less than the significance level (
) then we reject the null hypothesis, if p-value is greater than the significance level (
) then we do not reject.
Now , the calculated value 0.012 is less than the 0.01, so we reject the null hypothesis.