Confidence interval for the true population proportion

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Reference no: EM132342723

Question 1: A media analyst is trying to determine the proportion of people living in St. Louis that watch a particular television show. The analyst collects a random sample of 228 people from St. Louis. Of the 228 people in the sample, 32 people said that they did watch the show.

a) Find a 95% confidence interval for the true population proportion of people in St. Louis who watch the show.

b) Provide the right endpoint of the interval

Round the answer to 4 decimal places.

Question 2: A  media analyst is trying to determine the proportion of people living in St. Louis that watch a particular television show. The analyst collects a random sample of 157 people from St. Louis. Of the 157 people in the sample, 42 people said that they did watch the show.

a) Find a 95% confidence interval for the true population proportion of people in St. Louis who watch the show.

b) Provide the margin of error of the interval as the answer.

Round the answer to 4 decimal places

Question 3: A medical researcher is interested in knowing what percentage of the U.S. population has a certain gene. The researcher collect a random sample of 464 people from across the country, and tests them for the gene. The gene was present in 52 of the 464 people tested.

a) Find a 90% confidence interval for the true proportion of people in the U.S. with the gene.

b) Provide the right endpoint of the interval as the answer.

Round the answer to 4 decimal places.

Question 4: A medical researcher is interested in knowing what percentage of the U.S. population has a certain gene. The researcher collect a random sample of 560 people from across the country, and tests them for the gene. The gene was present in 48 of the 560 people tested.

a) Find a 90% confidence interval for the true proportion of people in the U.S. with the gene.

b) Provide the margin of error of the interval as the answer.

Round the answer to 4 decimal places.

Question 5: A newspaper polls 56 voters to ask which candidate for mayor the supported in an upcoming election. Of the 56 people polled, 32 said that they intended to vote for Candidate Jones.  

a) Find a 99% confidence interval for the true proportion of people in the city who plan to vote for Candidate Jones.

b) Provide the right endpoint of the interval as the answer.

Round the answer to 4 decimal places.

Question 6: A newspaper polls 56 voters to ask which candidate for mayor the supported in an upcoming election. Of the 56 people polled, 22 said that they intended to vote for Candidate Jones.  

a) Find a 99% confidence interval for the true proportion of people in the city who plan to vote for Candidate Jones.

b) Provide the margin of error of the interval as the answer.

Round the answer to 4 decimal places.

Question 7: A researcher conducts a poll to study the level of educational attainment in a certain state. Of the 178 people surveyed by the researchers, 39 had a bachelor's Degree. 

a) Find a 90% confidence interval for the true proportion of people the state with bachelor's degrees.

b) Provide the right endpoint of the interval as the answer.

Round the answer to 4 decimal places.

Question 8: A researcher conducts a poll to study the level of educational attainment in a certain state. Of the 197 people surveyed by the researchers, 52 had a bachelor's Degree. 

a) Find a 90% confidence interval for the true proportion of people the state with bachelor's degrees.

b) Provide the margin of error of the interval answer.

Round the answer to 4 decimal places.

Question 9: An FTC agent is investigating a payday loan service. The agent reviews the records for 106 people who had borrowed money from the lender, and found that 24 of these individuals had defaulted on their loan. 

a) Find a 95% confidence interval for the true proportion of borrowers from the service who defaulted on their loans.

b) Provide the right endpoint of the interval as the answer.

Round the answer to 4 decimal places.

Question 10: An FTC agent is investigating a payday loan service. The agent reviews the records for 100 people who had borrowed money from the lender, and found that 22 of these individuals had defaulted on their loan. 

a) Find a 95% confidence interval for the true proportion of borrowers from the service who defaulted on their loans.

b) Provide the margin of error of the interval as the answer.

Round the answer to 4 decimal places.

Reference no: EM132342723

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