2. In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 450 of 1000 urban residents favor the construction while only 240 of 800 suburban residents are in favor. Use a=0.05 (a) Test using p-value if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant. (b) Construct a 95% confidence interval for the difference of favor proportions between urban residents and suburban residents and test if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant (You need to explain how you make the conclusion). (c) By using critical region(s) test if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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2. In a study to estimate the proportion of residents in a certain city and its suburbs who favor
the construction of a nuclear power plant, it is found that 450 of 1000 urban residents favor the
construction while only 240 of 800 suburban residents are in favor. Use a=0.05
(a) Test using p-value if there is a significant difference between the proportion of urban and
suburban residents who favor construction of the nuclear power plant.
(b) Construct a 95% confidence interval for the difference of favor proportions between urban
residents and suburban residents and test if there is a significant difference between the
proportion of urban and suburban residents who favor construction of the nuclear power plant
(You need to explain how you make the conclusion).
(c) By using critical region(s) test if there is a significant difference between the proportion of
urban and suburban residents who favor construction of the nuclear power plant.
Transcribed Image Text:2. In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 450 of 1000 urban residents favor the construction while only 240 of 800 suburban residents are in favor. Use a=0.05 (a) Test using p-value if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant. (b) Construct a 95% confidence interval for the difference of favor proportions between urban residents and suburban residents and test if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant (You need to explain how you make the conclusion). (c) By using critical region(s) test if there is a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant.
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