8. A poll taken from a sample of 600 voters found that 58% say the United States spends too little money on funding cancer research. a. Find the 90% confidence interval for the true proportion of voters who believe the United States spends too little on funding cancer research. b. State the margin of error for the confidence interval you found in part a. c. Suppose it is determined that 56% of all voters actually believe the U.S. spends too little on funding cancer research. Was the confidence interval you found in part a. an accurate estimate of the true proportion? Explain.

MATLAB: An Introduction with Applications
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**Problem 8: Confidence Intervals and Margin of Error Analysis**

A poll taken from a sample of 600 voters found that 58% say the United States spends too little money on funding cancer research.

a. **Find the 90% confidence interval** for the true proportion of voters who believe the United States spends too little on funding cancer research.

b. **State the margin of error** for the confidence interval you found in part a.

c. Suppose it is determined that 56% of all voters actually believe the U.S. spends too little on funding cancer research. **Was the confidence interval you found in part a an accurate estimate of the true proportion?** Explain.
Transcribed Image Text:**Problem 8: Confidence Intervals and Margin of Error Analysis** A poll taken from a sample of 600 voters found that 58% say the United States spends too little money on funding cancer research. a. **Find the 90% confidence interval** for the true proportion of voters who believe the United States spends too little on funding cancer research. b. **State the margin of error** for the confidence interval you found in part a. c. Suppose it is determined that 56% of all voters actually believe the U.S. spends too little on funding cancer research. **Was the confidence interval you found in part a an accurate estimate of the true proportion?** Explain.
Expert Solution
Step 1: Understanding the problem

Given that

Sample size (n)=600

Sample proportion p^=0.58

We have to find 

a.

90% confidence interval for the true proportion of voters who believe the United States spends too little on funding cancer research.


b.

Margin of error 

c .Suppose it is determined that 56% of all voters actually believe the U.S. spends too little on funding cancer research.

Was the confidence interval you found in part a. an accurate estimate of the true proportion

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