Question

graph
the information below to answer the questions:
data in the accompanying bar graph are from a random
ple of 890 adults. the graph shows four proposals to reduce
violence in a country and the percentage of surveyed adults
o favored each of these proposals.
proposals to reduce gun violence
part a
find the margin of error for this survey. round to the hundredth.
part b
complete the statement about the percentage of adults in the
countrys population who favor a ban on high - capacity to reduce
gun violence. (round to the hundredth)
there is a 95% confidence that between % and % of all adults in the country
favor a ban on high - capacity.

Explanation:

Step1: Calculate the margin of error

The formula for the margin of error \(E\) for a proportion in a sample is \(E = z\sqrt{\frac{p(1 - p)}{n}}\). For a 95% confidence interval, \(z = 1.96\). Let's assume \(p=0.58\) (the proportion for the ban on high - capacity from the bar graph) and \(n = 890\).

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Step2: Calculate the confidence interval

The confidence interval is \(\hat{p}-EThe lower bound is \(0.58-0.03=0.55\) and the upper bound is \(0.58 + 0.03=0.61\)

Answer:

Part A: \(0.03\)
Part B: There is a 95% confidence that between \(55\%\) and \(61\%\) of all adults in the country favor a ban on high - capacity.