A survey of University of Toronto students showed that 870 of 1,100 students sampled supported a fee increase to fund improvements to the student recreation center. Using the 95% level of confidence, answer following question about the confidence interval for the proportion of students supporting the fee increase? a. What is the best point estimator for the population proportion? (Write your answer in decimal format with 4 digit after the decimal point) The point estimator: b. What is the upper limit of the confidence interval? (Write your answer in decimal format with 4 digit after the decimal point) Upper limit: c. What is the lower limit of the confidence interval? (Write your answer in decimal format with 4 digit after the decimal point) Lower limit:What is the smallest sample size in each of following cases? a. Suppose you want to find the mean age for young adults who commit crimes, with a maximum error of one year, with 99% of confidence level. A pilot sample of 30 young adults shows a sample standard deviation of 3 years. (Round your answer to the nearest whole number.) Sample size: b. Suppose you want to find the proportion of the people in the middle income part of the city who vote for conservatives, with maximum error of 3%, with 95% of confidence level. In a pilot sample of 50 people, 15 will vote for conservatives. (Round your answer to the nearest whole number.) Sample size:The research department of a big insurance company is investigating if a car, Ford model XXI, tips over easier than required safety standards. A sample of 13 crashed Ford XXI has been studied. The study showed that these cars tipped over, on average when speeding 170 Km/h, with the standard deviation of 22 Km/h. But the manufacturing safety standard for the tip over speed is 185 Km/h. Test if Ford XXI runs statistically higher risk of turn over, at 1% level of significance than the required standard, by answering following questions. a. Write down the H1 hypothesis. HFord (Click to select) : b. What is the probability distribution of test statistics for this question? [Click to select) c. Find the critical value for this test. (Use 3 digits after decimal point) Critical value: d. Find the test statistic for this test. (Use 3 digits after decimal point) Test statistics: e. Therefore, Ho is (Click to select) # f. The conclusion is (Click to select) at 1% significance level