In 2016 and 2017 a poll asked American adults about their amount of trust they had in the judicial branch of government. In 2016, % expressed a fair amount or great deal of trust in the judiciary. In 2017, % of Americans felt this way. These percentages are based on samples of American adults. Complete parts (a) through (d) below. a. Explain why it would be inappropriate to conclude, based on these percentages alone, that the percentage of American adults who had a fair amount or great deal of trust in the judicial branch of government increased from 2016 to 2017.
A. Although percentage is present in the 2016 sample, the population percentages could be the same or even reversed.
B. Since percentage is present in the 2016 sample, we cannot conclude that percentage of people in 2016 have a fair amount or great deal of trust in the judicial branch of government.
C. Although percentage is present in the 2016 sample, the population percentages could be the same, but could not be reversed.
D. Since percentage is present in the 2016 sample, percentage of people in 2016 than in 2017 must have a fair amount or great deal of trust in the judicial branch of government.
b. Check that the conditions for using a two-proportion confidence interval hold. You can assume that the sample is a random sample.
The Random and independent condition
The Large Samples condition