Step-by-step explanation:
Based on the given conditions,
Formulate:(100-80)÷80
Calculate the sum or difference:20/80
Cross out the common factor:1/4
Multiply a number to both the numerator and the denominator:1/4×25/25
Write as a single fraction :25/4×25
Calculate the product or quotient :25/100
Rewrite a fraction with denominator equals 100 to a percentage:25%
Answer : 25%
Answer: x=-50
Step-by-step explanation:
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Divide the number of homes by the sample size:
500 out of 1200 houses = 0.4166
Now find the sample proportion:
p(1-p)/n = 0.4166((1-0.4166)/1200)= 0.0002
Take the square root: √0.0002 = 0.014
Multiply that by the Z value for 95% which is 1.96:
1.96 x 0.014 = 0.028 x 100 = 2.8%
The confidence interval is the percentage of homes from above ( 0.4166 plus and minus the sample proportion:
0.4166 - 0.028 = 0.3886
0.4166 + 0.028 = 0.4446
[0.3888, 0.4446]
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