The results of two random samples of votes for a proposition are shown above. The samples were selected from the same population, and the margins of error were calculated using the same method. Which of the following is the most appropriate reason that the margin of error for sample A is greater than the margin of error for sample B?

Using random sample data, an analyst estimated that in an upcoming election, a candidate will receive   of the votes. The margin of error for this estimation is  . Which of the following is the most appropriate conclusion based on the given estimate and margin of error?

Margin of error is the _____ amount that the sample results are expected to differ from those of the actual population.

The police chief of a town is trying to determine the average speed of the drivers on a specific road.  The police chief took a random sample of speeds of 100 drivers on the road.The mean was 48.5 miles per hour, with a standard deviation of 2.5 miles per hour.The police chief wanted to decrease the margin of error of his next sample.Which choice would decrease the margin of error?Note:  Margin of error = 2(sn√)2(𝑠𝑛), where s is the standard deviation and n is the sample size.

A scout is trying to determine the average velocity of pitchers in college.  The scout took a random sample of 250 pitches on opening day.  The mean was 88mph with a standard deviation of 3.7mph.  The scout wants to decrease the margin of error on the next sample.  Which choice would be his best option? (Margin of error is 2(sn√)2(𝑠𝑛), where n is the sample size and s is standard deviation.)

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?