Answer:
- The lowest value of the confidence interval is 0.5262 or 52.62%
- The highest value of the confidence interval is 0.5538 or 55.38%
Step-by-step explanation:
Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.
The general expression to apply here is;

where ;
p=sample proportion
n=sample size
z*=value of z* from the standard normal distribution for 95% confidence level
Given;
n=5000
<u>Find p</u>
From the question 54% of people chosen said they did not have children under 18 living at home

<u>To calculate the 95% confidence interval, follow the steps below;</u>
- Find the value of z* from the z*-value table
The value of z* from the table is 1.96
- calculate the sample proportion p
The value of p=0.54 as calculated above

Divide the value of p(1-p) with the sample size, n

- Find the square-root of p(1-p)/n

Here multiply the square-root of p(1-p)/n by the z*

The 95% confidence interval for the lower end value is p-margin of error

The 95% confidence interval for the upper end value is p+margin of error

Answer:
11:55
Step-by-step explanation:
Answer:
The resulting equation after dilation: y=x.
The resulting equation after translation: y=x-1.
Step-by-step explanation:
The given equation of line

If a line passes through the center of dilation and dilated by factor k, then the equation of line is remains same.
It is given that the line is dilated by a factor of 1/3. The center of dilation is not given so the center of dilation is (0,0).
At x=0,

It means the line passes through the point (0,0). Since the line passes through the center of dilation, therefore the equation of line is remains same.

The translation is defined as

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The resulting line is translated 1 unit down.

Therefore, the equation of the resulting line is y=x-1.
Answer:
you told me to resolve this problem
Step-by-step explanation:
Step-by-step explanation:
