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In a survey of 1000 voters 580 responded passively to a question on state issued

ID: 1179711 • Letter: I

Question

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? ________________________


Explanation / Answer

p = (580-500)/1000 = .08

2)

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