Answer
There is not sufficient evidence to reject Mars' claim.
Work Step by Step
$H_{0}:p=13$%=0.13. $H_{a}:p\ne0.13$ $\hat{p}$ is the number of objects with a specified value divided by the sample size. Hence $\hat{p}=\frac{x}{n}=0.08.$ The test statistic is:$z=\frac{\hat{p}-p}{\sqrt{p(1-p)/n}}=\frac{0.08-0.13}{\sqrt{0.13(1-0.13)/100}}=-1.49.$ The P is the probability of the z-score being more than 1.49 or less than -1.49 is the sum of the probability of the z-score being less than -1.49 plus 1 minus the probability of the z-score being less than 1.49, hence:P=0.0681+1-0.9319=0.1362. If the P-value is less than $\alpha$, which is the significance level, then this means the rejection of the null hypothesis. Hence:P=0.1362 is more than $\alpha=0.05$, hence we fail to reject the null hypothesis. Hence we can say that there is not sufficient evidence to reject Mars' claim.
