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in a survey of 500 residents, 300 were opposed to the use of photo-cops for issuing traffic tickets. find the margin of error that corresponds to a 95% confidence interval for the proportion of residents that are opposed to the use of photo-cops for issuing traffic tickets.

Sagot :

The margin of error that corresponds to a 95 % confidence interval for the proportion of residents that are opposed to the use of photo - cops for issuing traffic tickets is 0.04.

Given:

in a survey of 500 residents, 300 were opposed to the use of photo-cops for issuing traffic tickets.

Sample size n = 500

Number of success X = 300

Sample proportion p = X/n

= 300/500

= 30/50

= 3/5

= 0.6

z score at 95% = 1.96

Margin of error = z * [tex]\sqrt{p(1-p)/n}[/tex]

= 1.96 * [tex]\sqrt{0.6(1-0.6)/500}[/tex]

= 0.04

Therefore the margin of error that corresponds to a 95 % confidence interval is 0.04.

Learn more about the confidence interval here:

https://brainly.com/question/24131141

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