Question

In: Statistics and Probability

Clyde is a political candidate. Clyde asks Marge, his head of polling, to conduct a poll...

Clyde is a political candidate. Clyde asks Marge, his head of polling, to conduct a poll that will estimate the percentage of voters who support him with a 2% margin of error at a 95% confidence level. How many random voters does Marge need to poll? Be sure to round accordingly. Marge would need to survey voters in order to be within a 2% margin of _______ error at a 95% confidence level.

Solutions

Expert Solution

Solution :

Given that,

= 0.5 ( assume 0.5

1 - = 1 - 0.5= 0.5

margin of error = E = 2% = 0.02

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (1.96 / 0.02)2 * 0.5 * 0.5

= 2401

Sample size =2401


Related Solutions

Clyde is a political candidate. Clyde asks Marge, his head of polling, to conduct a poll...
Clyde is a political candidate. Clyde asks Marge, his head of polling, to conduct a poll that will estimate the percentage of voters who support him with a 1% margin of error at a 99% confidence level. How many random voters does Marge need to poll? Be sure to round accordingly. Marge would need to survey ____ voters in order to be within a 1% margin of error at a 99% confidence level.
Clyde is a political candidate. Clyde asks Marge, his head of polling, to conduct a poll...
Clyde is a political candidate. Clyde asks Marge, his head of polling, to conduct a poll that will estimate the percentage of voters who support him with a 7% margin of error at a 99% confidence level. How many random voters does Marge need to poll?  Be sure to round accordingly. Marge would need to survey (answer)   voters in order to be within a 7% margin of error at a 99% confidence level.
A political polling organization has been hired to conduct a poll of likely voters prior to...
A political polling organization has been hired to conduct a poll of likely voters prior to an upcoming election. Each voter is to be interviewed in person. It is known that the costs of interviewing different types of voters vary due to the difference in proportion within the population. The costs to interview males, for example, are $20 per Democrat, $18 per Republican, and $27 per Independent voter. The costs to interview female are $24, $22 and $28 for Democrat,...
M3_A5. A political polling organization has been hired to conduct a poll of likely voters prior...
M3_A5. A political polling organization has been hired to conduct a poll of likely voters prior to an upcoming election. Each voter is to be interviewed in person. It is known that he costs of interviewing different types of voters vary due to the difference in proportion within the population. The costs to interview males, for example, are $20 per Democrat, $18 per Republican, and $27 per Independent voter. The costs to interview female are $24, $22 and $28 for...
A political candidate has asked you to conduct a poll to determine what percentage of people...
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 5% margin of error at a 95% confidence level, what size of sample is needed?
A political candidate has asked you to conduct a poll to determine what percentage of people...
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 4% margin of error at a 90% confidence level, what sample size is needed?
A political candidate has asked you to conduct a poll to determine what percentage of people...
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 7% margin of error at a 90% confidence level, what size of sample is needed? ____
A political candidate has asked you to conduct a poll to determine what percentage of people...
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 1% margin of error at a 99% confidence level, what size of sample is needed? Give your answer in whole people.
A political candidate has asked you to conduct a poll to determine what percentage of people...
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 4% margin of error at a 95% confidence level, what size of the sample is needed? The political candidate will need to sample people. You measure 39 textbooks' weights, and find they have a mean weight of 44 ounces. Assume the population standard deviation is 12.7 ounces. Based on this, construct a 99% confidence interval for...
1. A political candidate has asked you to conduct a poll to determine what percentage of...
1. A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 7% margin of error at a 90% confidence level, what size of sample is needed? 2. You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.14. You would like to be 99% confident that your estimate is within 2.5% of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT