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In 12 January 2010, an earthquake magnitude 7.0 hit Haiti. The earthquake's death toll was above 100,000, and more than 250,000 buildings collapsed. A survey of 2,500 houses in Port-au-Prince (Haiti's capital) found 500 of the surveyed houses collapsed. The World Bank offers an Infrastructure & Institutions Emergency Recovery Fund to support the early recovery efforts of countries facing an emergency, such as Haiti. The primary eligibility condition for the fund is that at least 50% of the country's infrastructure is damaged. The procurement office also requires that funding decisions are based on a 90% confidence level and a margin of error of 0.05. . What is the proportion of collapsed houses? (Round your answer to 2 decimal places.) Please justify your answer Toolbar navigation BIUS EEE !!! A 2 Construct a 99% confidence interval for the proportion of collapsed houses (Round your answer to 2 decimal places.) Please justify your answer

c. Based on the survey described above, was Haiti eligible for the World Bank's Infrastructure & Institutions Emergency Recovery? No. Haiti will not be eligible for the fund as the 99% confidence interval does not include 0.5 (the primary eligibility condition), Yes. Haiti will be eligible for the fund as the 99% confidence interval lies to the right of the 0.5 (the primary eligibility condition). O No. Haiti will not be eligible for the fund as the 99% confidence interval does not lie to the right of 0.5 (the primary eligibility condition) Yes. Haiti will be eligible for the fund as the 99% confidence interval includes 0.5 (the primary eligibility condition). No. Haiti will not be eligible for the fund as the 99% confidence interval does not lie to the right of 0.01 (the primary eligibility condition) Yes. Haiti will be eligible for the fund as the 99% confidence interval lies to the right of the 0.01 (the primary eligibility condition) Yes. Halti will be eligible for the fund as the 99% confidence interval Includes 0.01 (the primary eligibility condition) O No. Haiti will not be eligible for the fund as the 99% confidence interval does not include 0.01 (the primary eligibility condition). d. What is the minimum sample size required to satisfy the procurement office's criterion? (Round your answer to the largest integer.) Please justify your answer