statistics questions

1) what are the conditions for constructing a t interval?

 

2) A poll conducted by a newspaper reported that 340 of 1000 randomly chosen Quebec adults surveyed would vote “Yes” in a referendum for independence from Canada.

 

a. If appropriate, find the margin of error for confidence level 99%. What does this number mean?

b. If appropriate, find a 99% confidence interval for the population proportion of all Quebec residents who favor independence for the province of Quebec.

 

3) An organization administers exams to a nationwide sampling of students to assess the quality of education in America. Suppose the organization would like to estimate the population proportion of American school children who would answer a given question correctly. Find a sample size which would give a margin of error of 0.03 with 90% confidence.