The incumbent governor of a province in Indonesia believes that he will succeed in the upcoming...

The incumbent governor of a province in Indonesia believes that he will succeed in the upcoming regional election in winning more than 50% of the votes amongst the 13,000,000 registered voters. A random sample of 1,000 voters were selected. 510 people stated that they would vote for the governor. Estimate with 99% confidence the true proportion of voters who would vote for the governor.

a) You are recently hired as a junior data analyst working for the governor’s office. Specify the appropriate formula you would use to solve the problem. Provide a brief reason why you chose the formula. 1 mark

b) Obtain the 99% confidence interval estimate of the true proportion of voters who would vote for the governor. Display working. 3 marks

c) Provide an interpretation of the answers you obtained in part b) in the context of the problem. 1.5 marks

d) Present brief statements of two or three sentences to the governor’s office with regard to the possibility of him winning the election on the basis of the interval estimation conducted. Is it very much conclusive that he will win the election? Why? 1.5 marks

e) Assuming all of the other variables to do the calculation of confidence interval held constant, what would happen to the width of the interval when a lower sample size is used?

Expert Solution

orchestra answered 2 years ago

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