A survey conducted by Conquest Communications Group randomly sampled 700 registered voters in the U.S. 258 of the 700 sampled voters correctly answered that fourth graders in the U.S. are above average for overall education compared to other countries.

Choose a number between 80 and 96. This is the level of confidence you will use for this section of problems. What is your number? _____________

1. (2 pts) With the confidence level you chose, construct that % confidence interval for the population proportion of voters that answered correctly that 4^th graders in the U.S. are above average in overall education compared to other countries. What is the margin of error for this confidence interval?

1. (1 pt) Interpret the interval found above. Be sure to include the chosen confidence level and the context of the problem in the interpretation.

1. (3 pts)Find the margin of error for the following confidence intervals and compare these to the margin of error for the confidence interval you found above in #1.
2. 79% confidence interval. Margin of error =
3. 98% confidence interval. Margin of error =
4. How do these margins of errors compare to the margin of error for the confidence interval found in #1 above?

1. (2 pts)What sample size is required if a margin of error of 4% is desired using the confidence level chosen in #1 above? Be sure to show the formula used and work solving the problem.