Fix the roads! ~ The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed Township residents and calculated a 90% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.55, 0.62).1. Which of the following statements must be true?A. If the sample size had instead been 740 residents, then the 90% confidence interval would be half as wide as the one stated above. B. A 99% confidence interval calculated using the same survey data will include more plausible values for the population proportion. C. If a different sample of 370 residents were to be selected, then there is a 90% chance that the new sample proportion will be between 0.55 and 0.62

2. What is the sample proportion? Give the exact answer as a decimal.p^=p^=

3. What is the margin of error for this confidence interval? Give the exact answer as a decimal.ME=ME=

4. What is the standard error for this confidence interval? Round your answer to 4 decimal places.SEp^=SEp^=

5. What is the 95% confidence interval using the same survey data?