Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an int
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Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula . We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula and substitute the x and y values of the given points into it. Then, simplify to find the slope, or
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula and substitute values for
,
, and
. From there, we can convert the equation into slope-intercept form.
Since represents the slope, substitute 1 in its place. Since
and
represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
Answer:
a) The 99% confidence interval is from 14.8% to 23.2%.
b) The confidence interval tells us that the true proportion of mislabeled is within 14.8% and 23.2%, with a 99% confidence. In other words, if we take samples of the same size, 99% of the samples will have a proportion within 0.148 and 0.232.
c) The confidence interval calculation take into account the sample size, so the width (or precision) of the interval depends on the sample size.
The only criticism that could be analyzed is to see if the sample is representative of the population.
Step-by-step explanation:
a) We have to calculate a 99% confidence interval for the proportion.
The sample proportion is p=0.19.
The standard error of the proportion is:
The critical z-value for a 99% confidence interval is z=2.576.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 99% confidence interval for the population proportion is (0.148, 0.232).