In a survey of 1000 voters 580 responded passively to a question on state issued bond to cover education cost. An approval rating of over 50% is needed for the bond proposal to pass.
a. What is the point estimate of the population proportion?
b. What is the point estimate of the population variance?
c. Write a 95% confidence interval for the population proportion (? = .05).
d. Will the bond proposal be approved with a 95% confidence? _________ If yes/no, why? ____
e. Write a 99% confidence interval for the population proportion (? = .01).
f. Will the bond proposal be approved at the 99% confidence? _______ If yes/no, why? _____
g. The state decides to reduce the margin of error in its study by 1% (.01). What sample size is needed? ________________________