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Type II Error
Type II Error

... Type II Error in Two-Tailed Test of Population Mean with Unknown Variance In a two-tailed test of the population mean, the null hypothesis claims that the true population mean μ is equal to a given hypothetical value μ0. μ=μ o A type II error occurs if the hypothesis test based on a random sample f ...
[MSM04]
[MSM04]

chapter 8 introduction to hypothesis testing
chapter 8 introduction to hypothesis testing

Hypothesis testing with standard errors
Hypothesis testing with standard errors

Significance/Hypothesis Testing
Significance/Hypothesis Testing

0 - CA Sri Lanka
0 - CA Sri Lanka

... This is a lower-tail test since the alternative hypothesis is focused on the lower tail below the mean of 3 This is an upper-tail test since the alternative hypothesis is focused on the upper tail above the mean of 3 ...
Estimation-Confidence intervals
Estimation-Confidence intervals

... determine the likelihood of obtaining sample outcomes if the null hypothesis were true. The value of the test statistic is used to make a decision regarding the null hypothesis.  The test statistic is a random variable because is a function of random variables. For instance, consider hypothesis tes ...
Significance Testing
Significance Testing

P-Value Approximations for T-Tests of Hypothesis
P-Value Approximations for T-Tests of Hypothesis

... null hypothesis. That is the smaller a p-value, the more evidence exists to support the alternative hypothesis. This p-value determination enables a researcher to make decisions, regarding whether the data collected indicates significant differences or not in the population. Usually for alpha, the s ...
Z - El Camino College
Z - El Camino College

... Zdata is an extreme value. Unusual and extreme values of the sample mean, and therefore of Zdata will have a small p-value. Assuming H0 is true: Unusual and extreme values of sample mean and Zdata •Small p-value (close to 0) Values of sample mean and Zdata near center •Large p-value (greater than, s ...
Inference for one sample
Inference for one sample

... is what we are trying to conclusively demonstrate–for the journalist, the alternative hypothesis (representing the case that the election can be ’called’) is p 6= 0.5. For the campaign manager of candidate A, a different alternative might be of interest–he would like to know if his candidate will wi ...
Chapter 7 - Wells` Math Classes
Chapter 7 - Wells` Math Classes

Inferences on a Population Mean
Inferences on a Population Mean

... Example: Suppose I toss a coin 10 times and get 9 heads. If we assume the coin is fair, what is the probability that I get 9 or 10 heads (the data observed or something more extreme)? Is that probability small enough to convince you that the coin is not fair? What if I toss the coins 100 times and g ...
Chapter 2 Notes Niven – RHS Fall 12-13
Chapter 2 Notes Niven – RHS Fall 12-13

t–test - Bioinformatics.ca
t–test - Bioinformatics.ca

... what is a p–value? a) A measure of how much evidence we have against the alternative hypothesis. b) The probability of making an error. c) Something that biologists want to be below 0.05 . ...
Week 3 - Ms. McKinley`s Math
Week 3 - Ms. McKinley`s Math

Significance Testing
Significance Testing

... contribution is the device used to quantify the distance between the data and what would be expected if the null hypothesis were true. That device is called the P-value. Fisher (1956) put it this way: “The logical basis of these scientific applications was the elementary one of excluding, at an assi ...
Study Guide
Study Guide

Hypothesis Testing: Example
Hypothesis Testing: Example

...  C. Probability and Critical Cutoff Approaches: Really the Same Thing  D. How do we do hypothesis tests on small samples (n = 30 or less).  E. How do we do hypothesis testing when we have information on population standard deviation? On sample standard deviations?  F. How do we test a statement ...
CHAPTER 7 Hypotheses Testing About The Mean μ(mu):
CHAPTER 7 Hypotheses Testing About The Mean μ(mu):

Document
Document

... Note: This CI contains only positive values. => “pA > pB” (at the 99% confidence level 99%). That is, the resin mix employed on building B seems to be better than the resin mixture employed on buildings A. In fact, we are 99% confident that the resin mixture on building A has a probability of causin ...
College Prep. Stats. Name: Important Information for Final Exam
College Prep. Stats. Name: Important Information for Final Exam

... For right-tailed tests: P(t > test statistic) *To find this probability in your calculator, type: tcdf(t test statistic, 99999999, df) For left-tailed tests: P(t < –test statistic) *To find this probability in your calculator, type: tcdf(–99999999, t test statistic , df) ***Don’t forget if your test ...
8: Introduction to Statistical Inference
8: Introduction to Statistical Inference

... Significance Level • α ≡ threshold for “significance” • If we choose α = 0.05, we require evidence so strong that it would occur no more than 5% of the time when H0 is true • Decision rule P-value ≤ α  evidence is significant P-value > α  evidence not significant • For example, let α = 0.01 P-val ...
One-Sample T
One-Sample T

Mathematical Statistics
Mathematical Statistics

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Statistical hypothesis testing

A statistical hypothesis is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables. A statistical hypothesis test is a method of statistical inference. Commonly, two statistical data sets are compared, or a data set obtained by sampling is compared against a synthetic data set from an idealized model. An hypothesis is proposed for the statistical relationship between the two data sets, and this is compared as an alternative to an idealized null hypothesis of no relationship between two data sets. The comparison is deemed statistically significant if the relationship between the data sets would be an unlikely realization of the null hypothesis according to a threshold probability—the significance level. Hypothesis tests are used in determining what outcomes of a study would lead to a rejection of the null hypothesis for a pre-specified level of significance. The process of distinguishing between the null hypothesis and the alternative hypothesis is aided by identifying two conceptual types of errors (type 1 & type 2), and by specifying parametric limits on e.g. how much type 1 error will be permitted.An alternative framework for statistical hypothesis testing is to specify a set of statistical models, one for each candidate hypothesis, and then use model selection techniques to choose the most appropriate model. The most common selection techniques are based on either Akaike information criterion or Bayes factor.Statistical hypothesis testing is sometimes called confirmatory data analysis. It can be contrasted with exploratory data analysis, which may not have pre-specified hypotheses.
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