A new proposition on a ballot wants to know whether it is likely to pass upon obtaining more than 50% of    the vote. A poll is taken and 571 out of 1,000 people support the proposition. What is the value of the sample proportion (𝒑)̂)?0.4630.5710.5421.750

Suppose 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.

A 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.

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.The test statistic is

A survey was given to a random sample of voters in the United States to ask about their preference for a presidential candidate. The percentage of people who said they preferred Candidate A was 24%. The margin of error for the survey was 5%. Which of the following is a reasonable value for the actual percentage of the population that prefers Candidate A?

A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending.  The percentage of people who said they favored the plan was 42%.  The margin of error for the survey was 1.5%.  Which of the following is not a reasonable value for the actual percentage of the residents that support the tax plan?