Tagged Questions
1
vote
0answers
50 views
Estimating population size and a proportion
I am interested in the following sampling problem, which I will try to describe by a motivating example.
Suppose we want to estimate how many people in a certain area, has blue eyes, how many have ...
2
votes
0answers
83 views
How to test if two coins have different biases?
probably a noob question because I'm a noob.
I have two coins, A and B. For each coin I have a sample of the results I get by tossing it. My null hypothesis is that A has equal or higher probability ...
3
votes
1answer
230 views
Expectation of length of a confidence interval for a proportion
a) For a given significance-level $\alpha$, if we find $\mathop{\mathbb E}(b-a)$ such that $\mathbb P(a \leq X \leq b) \geq 1−\alpha$ for all possible values of $a$ and $b$, from the point of view of ...
-4
votes
1answer
260 views
Distribution of a ratio of two proportions
$A$, $B$, $C$, $D$ are positive integers.
$$A \sim Binomial(p_1, A+B)$$
$$A+C \sim Binomial(p_2, A+B+C+D)$$
My variable of interest is $p_1/p_2$
Could one analytically compute a distribution ...
6
votes
1answer
664 views
How to compute Confidence Interval associated to a Binomial proportion's increase?
Not sure if you can help me but here's the problem.
I have two binomial proportions A and B (95% CI) -
$A = 2\% \pm 0.2\%,\quad B = 3\% \pm 0.2\%.$
In other words, B's proportion is 50% higher than ...
