−px+r=−8x − 2, x=? now i have to do this problem, and i dont know how, help?
1 answer:
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Answer:
a) p = 0.1808
b) Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval for p is satisfied.
c) The interval is (0.1676, 0.194)
d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194
Step-by-step explanation:
Given that:
n = 2306 and x =417
a) Obtain a point estimate for the population proportion (p) is the ratio of sample successes to sample size.
Therefore: p = x / n = 417 / 2306 = 0.1808
p = 0.1808
b) requirements for constructing a confidence interval for p is given by:
np(1-p) ≥ 10
Therefore: np(1-p) = 2306(0.1808)(1 - 0.1808) = 341.54 ≥ 10
Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval for p is satisfied.
c) c = 90% = 0.9
α = 1 - 0.9 = 0.1
α / 2 = 0.1 /2 = 0.05
From the probability table,
Margin of error (e) =
The boundaries are (p - e, p + e) = (0.1808 - 0.0132, 0.1808 + 0.0132) = (0.1676, 0.194)
The interval is (0.1676, 0.194)
d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194
The given expression is 
We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.
Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.
Now let's group terms which have the same variables.
We can see that there are two groups:
Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.
If we put the groups back together into the expression,
We can see that
. So (D) is the answer. Hope this helped.
We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.
Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.
Now let's group terms which have the same variables.
We can see that there are two groups:
Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.
If we put the groups back together into the expression,
We can see that