In a survey of 480 potential jurors, one study found that 350 were regular watch
ID: 3200175 • Letter: I
Question
In a survey of 480 potential jurors, one study found that 350 were regular watchers of at least one crime-scene forensics television series.
(a) Assuming that it is reasonable to regard this sample of 480 potential jurors as representative of potential jurors in the United States, use the given information to construct a 95% confidence interval for the true proportion of potential jurors who regularly watch at least one crime-scene investigation series. (Use Table 3 in Appendix A. Give the answer to three decimal places.)
Explanation / Answer
Here, p = 350 / 480 = 0.73
q = 1 - p = 1 - 0.73 = 0.27
n = 480
At 95% z value = 1.96
CI = p +/- Z * sqrt ( p*q/n)
CI = p + Z * Sqrt ( p*q/n)
= 0.73 +1.96 * sqrt ( 0.73 * 0.27/ 480)
= 0.769
CI = p - Z * Sqrt ( p*q/n)
= 0.73 - 1.96 * sqrt ( 0.73 * 0.27/ 480)
= 0.690
95% CONFIDENCE INTERVAL of the true POPULATION PROPORTION = [0.690, 0.769] (69.% , 76.9%)
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