If 13 of 200 male voters and 9 of 159 female voters favor a certain candidate running for governor of Illinois, find a 99% confidence interval for the difference between the actual proportions of malė and female voters who favor the candidate.

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

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.