Of 150 Chattanooga Residents Surveyed, 60 Indicated That They Participated

question 6

Essay

Of 150 Chattanooga residents surveyed, 60 indicated that they participated in a recycling program. In Knoxville, 120 residents were surveyed and 36 claimed to recycle.
a.Determine a 95% confidence interval estimate for the difference between the proportion of residents recycling in the two cities.
b.From your answer in Part a, is there sufficient evidence to conclude that there is a significant difference in the proportion of residents participating in a recycling program?

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Definitions:

Linear Equation

An algebraic equation that represents a straight line, typically in the form y = mx + c, where m is the slope and c is the y-intercept.

Graphical Method

A visual representation technique, often used in operations research and management to solve linear programming problems and analyze data.

Maximizing Problems

Issues or scenarios in optimization where the goal is to find the maximum value of a function subject to certain constraints, often encountered in mathematics and economics.

Constraints

Restrictions that limit the degree to which a manager can pursue an objective.