Answer:
4
Step-by-step explanation:
Firstly simplify your brackets...,
; 4(a^2 + 2b) = 4a^2 + 8b...then substitute it onto the bracket
; 4a^2 + 8b - 2b
; 4a^2 + 6b....,then substitute with the given values of a and b
; 4(2)^2)+ 6(-2)
; 16 - 12 = 4
Answer:
The 85% confidence interval is (0.2187, 0.2613).
Step-by-step explanation:
We have a large sample of size n = 830 Americans over 45. We have observed that 631 people don't smoke. Let p be the population proportion of Americans over 45 who smoke. An point estimate of p is
and an estimate of the standard deviation of
is
= 0.0148. Therefore, because we have a large sample, the 85% confidence interval for the population proportion is given by
where
is the 7.5th quantile of the standard normal distribution, i.e., -1.4395. Therefore the 85% confidence interval is
or equivalently (0.2187, 0.2613).
Kepler was a student of Copernicus who went with observations he made instead of tradition.