Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)
Answer:
m = -1
Step-by-step explanation:
The slope of a line is calculated as ;
Given : (-2,3) and (2,-1)
m = Δy/Δx
m= -1-3 /2--2
m = -4 /4 = -1
The slope is -1
Answer:
The value of x = 18
Step-by-step explanation:
Given the data set

- Given that the median of the data is 18.
- We know that the median is the middle number in a data set when the data points are in ascending order.
As the given data is already in ascending order.
- Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.
As 'x' is the middle number, thus it represents the median value.
Therefore, the value of x = 18
Answer:
about 3/4
Step-by-step explanation:
To tell what the y value of a certain x value will be is very simple if we have a graph--you can just look at the portion of the graph where x = 6. At that point, it appears to be 3/4 ish on the y-axis