Question 1Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 98% confidence; the sample size is 800, of which 40% are successesA.0.0339B.0.0446C.0.0403D.0.03551 points Question 2Find the value of that corresponds to a confidence level of 91%.A.1.75 B.1.34 C.1.645 D.1.70 1 points Question 3Find the appropriate critical value for the following: 99% confidence level ; n = 17; σ is unknown; population appears to be normally distributed.A.zα/2 = 2.567 B.zα/2 = 2.583 C.tα/2 = 2.898 D.tα/2 = 2.921 2 points Question 4Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 195, x = 162; 95% confidenceA.0.788 < p < 0.873B.0.777 < p < 0.884C.0.789 < p < 0.873D.0.778 < p < 0.8831 points Question 5Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students.A.92.03 < μ < 97.97 B.92.95 < μ < 97.05 C.91.68 < μ < 98.32 D.91.69 < μ < 98.31 1 points Question 650 people are selected randomly from a certain population and it is found that 12 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall?A.0.18 B.0.76 C.0.24 D.0.50 2 points Question 7Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.028; confidence level: 99%; and unknownA.2223 B.2115 C.1116 D.1939