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### Large sample confidence interval

Can someone please be so kind to check if my answer is correct
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### Binomial confidence intervals and the Central Limit Theorem

Suppose I want to estimate the head probability p for a biased coin. Usually this is done by assuming the distribution tends to normal using large number of trials and CLT. I am wondering how robust ...
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### Confidence interval in statistics

I really need help on this question. I am taking an introductory statistics class, and here is the question: A taxi company wants to determine if customers will accept self driving cars. The company ...
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### Confidence interval for population proportion

You have a population of 10M people. Suppose you want to determine the share of people with a certain disease. To do so you randomly choose X people and check if ...
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### 90% Confidence Interval for Population Proportion Given p' and n

I am trying to figure out why, for finding confidence intervals, we use the following standard error $$SE = \sqrt{\frac{p(1-p)}{n}}$$ in the formula $$\overline{X} \pm z_{(\alpha / 2)} \times SE$$ ...
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### Find the 99% confidence interval (Interval and test for proportion)

I have the following question and I am getting different results from a friend (I think he forgot to halve $\alpha$). Problem is: A random sample of 100 students from a large school was taken. It ...
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### Confidence Interval and Central Limit Theorem

Here's the problem: "During a test, we asked $120$ people who Jean-Jaques Rousseau was, and $12$ of them answered that he was a driver (which is false). Estimate the proportion of the population ...
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### Computing confidence interval of a proportion using prop.test() in R

I am using prop.test() to calculate the confidence interval of a proportion. I found that prop.test() result differs from the z-...
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### Statistics - Calculate probability of occurrence from small number of tests

I'm sure this is basic statistics, but I'm not even sure of the right words for the concepts I'm dealing with. I took statistics in college but it was ... well ... a few years ago. Let's say there's ...
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### How to pick sample size?

I have a requirement where i want to perform testing of 1000 systems, but I want to limit or pick or sample size since the rest is assumed to have same configuration. Whats criteria to pick sample ...