5. In a pre-election poll, a pollster finds that 552 out of 1025 people polled favor Smith. Construct the 95% confidence interval for the proportion of people in the whole population who favor Smith.

You recently sent out a survey to determine if the percentage of adults who use social media has changed from 62%, which was the percentage of adults who used social media five years ago. Of the 2283 people who responded to survey, 1635 stated that they currently use social media.a) Use the data from this survey to construct a 94% confidence interval estimate of the proportion of adults who use social media. Record the result below in the form of (#,#)(#,#). Round your final answer to four decimal places.

A political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. If the candidate wants a 1% margin of error at a 95% confidence level, what size of sample is needed? Be sure to round accordingly.The candidate would need to survey  people in the community in order to be within a 1% margin of error at a 95% confidence level.

Independent random samples of 100 east-side residents and 120 west-side residents of a large city were asked whether they will vote for candidate Jones in an upcoming election. Of the 100 east-side residents, 70 said they plan to vote for Jones. Of the 120 west-side residents, 72 said they plan to vote for Jones. In the calculation of a 90% confidence interval for the difference in the proportion of east-side and the proportion of west-side residents that will vote for candidate Jones, which of the following is the margin of error? (A) 1.28 (0.7)(0.3) (0.6)(0.4) 100 120 (B) 1.645 (0.7)(0.3) (0.6)(0.4) 100 120 (C) 1.96 + (0.7)(0.3) (0.6)(0.4) 100 120 142 78 1 1 (D) 1.645 + 220 220 100 120 142 78 1 1 (E) 1.96 + 220 220 100 120

8. In a random sample of 400 voters, 208 support the new bonding bill. Find the 98% confidence interval for the true proportion of voters who support the bill. Interpret the interval. Page 4 of 5

A political researcher takes a survey of 310 randomly selected registered voters in Orlando, and each person was asked who they plan on voting for in the 2024 presidential election. 110 said they plan on voting for Candidate A, 185 said they plan on voting for Candidate B, and 15 were unsure or plan to vote for another candidate. The researcher wants to construct a 95% confidence interval for the proportion of all registered voters in Orlando who plan to vote for Candidate B. What is the point estimate? Round final answer to 3 decimal places.

A statistics professor at a major university asked her students whether or not they wereregistered to vote. In a sample of 50 of the randomly sampled statistics students (from over1000 students), 35 said they were registered to vote. Find a 98% confidence interval and makea conclusion based upon those results.

A political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. If the candidate wants a 3% margin of error at a 95% confidence level, what size of sample is needed? Be sure to round accordingly. The candidate would need to survey people in the community in order to be within a 3% margin of error at a 95% confidence level.

6.  A researcher takes a sample of people, and asks them how they would vote for president. When she creates her confidence interval, she has a standard error of .082. If she wanted to get a smaller standard error, what could she do? Group of answer choices Ask a different research question. Take a smaller sample. Take a larger sample. None of the above would create a smaller standard error.

6) A survey of 300 union members in New York State reveals that 115 favor the Republican 6) candidate for governor. Construct the 99% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate. Find the margin of error. Round to two decimal places. (Show how you set up and calculate this value.)