Answer:
98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is 0.373±0.065, that is between 0.308 and 0.438
Step-by-step explanation:
Confidence Interval can be calculated using p±ME where
- p is the sample proportion of 300 union members in New York State who favor the Republican candidate ()
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME= where
- z is the corresponding statistic in 98% confidence level (2.33)
- p is the sample proportion (
- N is the sample size (300)
Then ME=[tex]\frac{2.33*\sqrt{0.373*0.627}}{\sqrt{300} }[/tex≈0.065
98% confidence interval is 0.373±0.065
7
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Hope this helps!!!!!!!!!
Answer:
Step-by-step explanation:
If the discriminant b^2 - 4ac > 0, then the two solutions are
, and in both cases, the value on the square root is > 0, so the result will always be a real number.
The coordinates of the center of this circle will be the average between the extreme points
C = ( (xo+x1)/2 , (yo+y1)/2)
Where,
xo = 3 and x1 = 9
yo = 8 and y1 = 16
Then us stay with"
C = ( (3+9)/2 , (8+16)/2)
C = ( 12/2 , 24/2)
C = ( 6 , 12 )