Question
In 2016 and 2017 a poll asked American adults about their amount of trust they had in the judicial branch of government. In 2016, 66%
In 2016 and 2017 a poll asked American adults about their amount of trust they had in the judicial branch of government. In 2016, 66% expressed a fair amount or great deal of trust in the judiciary. In 2017, 75% of Americans felt this way. These percentages are based on samples of 1621 American adults. Complete parts (a) through (d) below.
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 holds, assuming a random sample.
The Large Samples condition holds.
The Big Populations condition can reasonably be assumed to hold.
The Independent Samples condition holds.
c. Construct a 95% confidence interval for the difference in the proportions of Americans who expressed this level of trust in the judiciary, p - p, where p is the 2016 population proportion and p, is the 2017 population proportion.
The 95% confidence interval is (_____,____).
(Round to three decimal places as needed.)
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