hypothesis Definition and 6 Threads

We have a question where we're testing the hypothesis that a certain diet (call it diet A) causes weight loss. We get ##n_1## people who we put on diet A (treatment group) and another ##n_2## people who we keep on a normal diet (control group). We find that the mean weight loss in the treatment...

Placebo/control group has 800 people. They aren't given the vaccine. 60 of them develop the disease Treatment group has 1000 people. They're given the vaccine. 15 develop the disease It seems there's a formula viz ##\frac{p_1 - p_2}{\sqrt{p (1 - p)}\left(\frac{1}{n_1} + \frac {1}{n_2}\right)}##...

My attempt: a) I am not really sure I understand this option fully but my answer will be this one is only applicable if the sample size is large and central limit theorem can be applied so (a) is wrong b) The test statistic has "same distribution" to what? My opinion is (b) is wrong because...

##H_0##: The probability of an obese person using chopsticks = the probability of a normal-weight person using chopsticks ##H_a##: The probability of an obese person using chopsticks ##\ne## the probability of a normal-weight person using chopsticks "Partial" Chi-Square Test: I focused only on...

TL;DR Summary: Sims and sample size A statistics question I have in my notes goes like this: Our significance level ##\alpha = 0.01## The percentage of left-handed people in the general population is ##10\%##. Liliana is curious if this is true for her arts class and so she takes a random...

Reached Hypothesis testing in my statistics notes (high school level). It reads ... 1. Type I Error: Rejecting the null (hypothesis), ##H_0##, when ##H_0## is true. The risk of a Type I error can be reduced by lowering the significance level ##\alpha##. The downside is this increases the...