9. (20 points) In Summer 2021, a random sample of 530 Germans showed that 264 had received at least one dose of a COVID-19 vaccine. According to consolidated data, 53% of the population of France has been fully vaccinated against COVID-19. (a) Test the claim at the .05 significance level that the proportion of Germans that have received at least one vaccine is at least that of the proportion of France that is fully vaccinated. i. Original Claim: ii. Opposite of Claim: iii. Ho and HA: iv. Significance Level: v. Test Statistic: vi. Check Requirements, Compute Test Statistic, Find P-Value or Critical Value: vii. Make decision on Ho: viii. Conclusion: (b) Would the same result hold at the .10 significance level