Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

#SPJ4

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.