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 68 of 100 urban residents favor the construction while only 58 of 125 suburban residents are in favor. is there a significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant? make use of a p-value.

Assuming 0.05 significance level, there is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Step-by-step explanation:

Let p(u) be the urban proportion who support nuclear power plant construction  

and p(s) be the suburban proportion who support nuclear power plant construction. Then

:  p(u) = p(s)

:  p(u) ≠ p(s)

The formula for the test statistic is given as:

z= where

Then z= ≈ 3.24

P-value of test statistic is ≈ 0.0012

Since p-value (0.0012 ) < significance level (0.05) we can reject the null hypothesis.

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step-by-step explanation: