1. Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority of Americans. A random sample of 4000 citizens yielded 2225 who are in favor of gun control legislation.How many citizens would need to be sampled if 90% confidence interval was desired to estimate the true proportion to within 4%.

2. Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 90% confidence . Assume that s= 15 based on earlier studies.

3.A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 99% confident that the true mean is within 2 ounces of true mean? Assume The standard deviation = 7 ounces based on earlier studies.

4. A senator wishes to estimate the proportion of United States voters who favor abolishing the electoral college. How large of a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 3%?

5. A pollster wishes to estimate the number of left-handed scientists. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%? A previous study indicates that the proportion of left-handed scientists is 8%.

6.An article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the results of a poll, showed that 46% would like more discussion about the family's financial situation, 37% would like to talk about school, and 30% would like to talk about religion. These and other percentages were based on a national sampling of 522 teenagers. Estimate the proportion of all teenagers who want more family discussions about school. Use a 99% confidence level.Express the answer in the form E and round to the nearest thousandth.