98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is 0.373±0.065, that is between 0.308 and 0.438
Step-by-step explanation:
Confidence Interval can be calculated using p±ME where
p is the sample proportion of 300 union members in New York State who favor the Republican candidate ()
ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME= where
z is the corresponding statistic in 98% confidence level (2.33)
p is the sample proportion (
N is the sample size (300)
Then ME=[tex]\frac{2.33*\sqrt{0.373*0.627}}{\sqrt{300} }[/tex≈0.065