The owner of a restaurant is reviewing customer complaints. in a random sample of 227 complaints, 57 complaints were about the slow speed of the service. create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service. use excel to create the confidence interval, rounding to four decimal places.

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Step-by-step explanation:

Given :The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the slow speed of the service.

To Find :Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service.

Solution:

n = 227

x = 57

Formula of confidence for proportion: to  

z at 95% is 1.96

Substitute the values in the formula :

Confidence for proportion: to

Confidence for proportion: to

Hence 95% confidence interval for the proportion of complaints that were about the slow speed of the service is   to

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