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christinawood
18.07.2020 •
Mathematics
Chandra wants to estimate the percentage of people who smoke. She surveys 100 individuals and finds that 15 of them smoke. Find the margin of error for the confidence interval for the population proportion with a 98% confidence level.
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Ответ:
M.E = 0.083
the margin of error for the confidence interval for the population proportion with a 98% confidence level is 0.083
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
p+/-M.E
Given that;
M.E = margin of error
Proportion p = 15/100 = 0.15
Number of samples n = 100
Confidence interval = 98%
z(at 98% confidence) = 2.33
Substituting the values we have;
0.15 +/- 2.33√(0.15(1-0.15)/100)
0.15 +/- 2.33√0.001275
0.15 +/- 2.33(0.035707142142)
0.15 +/- 0.083197641192
0.15 +/- 0.083
So;
p = 0.15
M.E = 0.083
the margin of error for the confidence interval for the population proportion with a 98% confidence level is 0.083
Ответ:
Part A. The slope of f(x) is 4. I observed that each time the y value would increase by 4 points every time the x value increases by 1. The slope of g(x) is 2. I identified the m value as it's in slope-intercept form. The slope of f(x) is greater then that of g(x) because 4>2
Part B. The y-intercept of f(x) is greater. It is given that when x is 0, y is -1, so the y intercept of f(x) is -1. Meanwhile, the y-intercept of g(x) is -7 after identifying the b value. -7<-1, concluding that f(x) has a greater y-intercept
Step-by-step explanation:
ty for the points