# Year 2016 is the election year for American president. One researcher wants to conduct a telephone survey to study the proportion of Americans who do not know that GOP stands for Grand Old Party.

Year 2016 is the election year for American president. One researcher wants to conduct a telephone survey to study the proportion of Americans who do not know that GOP stands for Grand Old Party.

a)What is the minimum number of Americans the researcher should have in a telephone survey to estimate the proportion of Americans who do not know that GOP stands for Grand Old Party within 3% margin of error at 95% confidence level?

b)Suppose one past study has shown that 55% of Americans who do not know that GOP stands for Grand Old Party. What is the minimum number of Americans the researcher should have in a telephone survey to estimate the proportion of Americans who do not know that GOP stands for Grand Old Party within 3% margin of error at 95% confidence level?

c)According to a telephone survey from a random sample of 1, 900 Americans, 1, 049 Americans do not know that GOP stands for Grand Old Party.

c )Construct a 95% confidence interval for the proportion of Americans who do not know that GOP stands for Grand Old Party.

d)Interpret the interval constructed in part (c).