In June 2005, a survey was conducted in which a random sample of 1,464 U.S. adults was asked the following question: "In 1973 the Roe versus Wade decision established a woman's constitutional right to an abortion, at least in the first three months of pregnancy. Would you like to see the Supreme Court completely overturn its Roe versus Wade decision, or not?"The results were: Yes—30%, No—63%, Unsure—7% (Source: www.Pollingreport.com)Which of the following is true about this scenario? 30%, 63%, and 7% are all parameters. 30%, 63%, and 7% are all statistics. If another random sample of size 1,464 U.S. adults were to be chosen, we would expect to get the exact same distribution of answers.Question 2Select one answer.10 pointsA political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate. One plan is to select 400 voters, another plan is select 1,600 voters.Which of the following is true regarding the sample proportion p̂ of "yes" responses? The sample proportion from the sample of 400 is more likely to be close to the true population proportion, p. The sample proportion from sample of 1,600 is more likely to be close to the true population proportion, p. The sample proportion in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.Question 3Select one answer.10 pointsA political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate. One plan is to select 400 voters, another plan is to select 1,600 voters.If the study were conducted repeatedly (selecting different samples of people each time), which one of the following would be true regarding the resulting sample proportions of "yes" responses? For either sample size, using the same size each time, as long as the samples are drawn with replacement, they would be centered (have a mean) at 0. Different sample proportions would result each time, but for sample size 400 they would be centered (have their mean) at the true population proportion, whereas for sample size 1,600 they would not. Different sample proportions would result each time, but for sample size 1,600 they would be centered (have their mean) at the true population proportion, whereas for sample size 400 they would not. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.Question 4Select one answer.10 pointsSuppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase.How likely is the resulting sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)?(Hint: Use the sampling distribution of the sample proportion in this case.) It is certain that the resulting sample proportion will be within 0.04 of the true proportion. There is roughly a 99.7% chance that the resulting sample proportion will be within 0.04 of the true proportion. There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion. There is roughly a 68% chance that the resulting sample proportion will be within 0.04 of the true proportion.Question 5Select one answer.10 pointsA distribution of a single statistic from repeated random samples of the same size from the same population refers to which of the following? Distribution of summary statistics The normal curve Distribution of population parameters Sampling distribution of a statistic Random samplin