Please help me with this math question
1 answer:
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<h2>Hello!</h2>
The answer is:
Center: (1,-2)
Radius: 4 units.
<h2>Why?</h2>To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:
Where,
"h" and "k"are the coordinates of the center of the circle and "r" is its radius.
So, we need to complete the square for both variable "x" and "y".
The given equation is:
So, solving we have:
Now, we have that:
So,
Center: (1,-2)
Radius: 4 units.
Have a nice day!
Note: I have attached a picture for better understanding.
Answer:
The 98% confidence interval for population proportion of people who refuse evacuation is {0.30, 0.33].
Step-by-step explanation:
The sample drawn is of size, <em>n</em> = 5046.
As the sample size is large, i.e. <em>n</em> > 30, according to the Central limit theorem the sampling distribution of sample proportion will be normally distributed with mean and standard deviation
.
The mean is:
The confidence level (CL) = 98%
The confidence interval for single proportion is:
Here = critical value and <em>α </em>= significance level.
Compute the value of <em>α</em> as follows:
For <em>α</em> = 0.02 the critical value can be computed from the <em>z</em> table.
Then the value of is ± 2.33.
The 98% confidence interval for population proportion is:
Thus, the 98% confidence interval [0.30, 0.33] implies that there is a 0.98 probability that the population proportion of people who refuse evacuation is between 0.30 and 0.33.