Answer
There is not sufficient evidence to support that less than 50% of human resource professionals say that body piercings are big grooming red flags.
Work Step by Step
$H_{0}:p=50$%=0.5. $H_{a}:p<0.5.$ $\hat{p}$ is the number of objects with a specified value divided by the sample size. Hence $\hat{p}=0.459.$ The test statistic is:$z=\frac{\hat{p}-p}{\sqrt{p(1-p)/n}}=\frac{0.459-0.5}{\sqrt{0.5(1-0.5)/514}}=-1.86.$ The P is the probability of the z-score being less than -1.86, hence:P=0.0314. If the P-value is less than $\alpha$, which is the significance level, then this means the rejection of the null hypothesis. Hence:P=0.0314 is more than $\alpha=0.01$, hence we fail to reject the null hypothesis. Hence we can say that there is not sufficient evidence to support that less than 50% of human resource professionals say that body piercings are big grooming red flags.
