Respuesta :
The p value for the difference is 0.005.
According to the statement
we have given that the 74 of 100 urban residents favor the construction while only 70 of 125 suburban residents are in favor.
And we have to find the difference between them in proportions.
So,
X1 = 74 represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant
X2 = 70 represent the number of people suburban residents are in favor
N1 = 100 sample 1 selected
N2 = 125 sample 2 selected
AND
P1 = 0.74 represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant
And P2 = 0.56 represent the proportion of suburban residents are in favor And z would represent the statistic (variable of interest)
Pv represent the value for the test (variable of interest)
Here we apply the Z test to find the difference then
Z = (0.74 - 0.56) / (0.64(1-0.64)(1/100+1/125) )^1/2
Now after solving
Z = 2.795.
Now The significance level provided is ,and we can calculate the p value for this test.
Since is a two tailed test the p value would be:
P = (z>2,795)
P = 0.005.
So, The p value for the difference is 0.005.
Learn more about Z Test here https://brainly.com/question/14453510
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