1 )A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new green initiative

1 )A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new green initiative. Of the 521 randomly selected Americans surveyed, 380 were in favor of the initiative. Round answers to 4 decimal places where possible.a.  With 95% confidence the proportion of all Americans who favor the new green initiative is between and.

b.  If many groups of 521 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the green initiative and about percent will not contain the true population proportion.

2.  Express the confidence interval 0.638&+0.09 in open interval form (i.e., (0.155,0.855)).

3. Out of 200 people sampled, 184 preferred Candidate A. Based on this, estimate what proportion of the voting population (p) prefers Candidate A.

Use a 90% confidence level, and give your answers as decimals, to three places.