### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Confidence Intervals and Tests of Significance STAT 1010

UVA

### View Full Document

## About this Document

## 5

## 0

## Popular in Introduction to Statistics

## Popular in Statistics

This 2 page Class Notes was uploaded by Susannah Gilmore on Thursday March 24, 2016. The Class Notes belongs to STAT 1010 at University of Virginia taught by in Spring 2016. Since its upload, it has received 5 views. For similar materials see Introduction to Statistics in Statistics at University of Virginia.

## Popular in Statistics

## Reviews for Confidence Intervals and Tests of Significance

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 03/24/16

Statistical Inference: provides methods for drawing conclusions about a population from the sample data. There are two ways to do this: Confidence intervals: used to estimate the value of a population parameter using sample statistics Test of Significance: used for assessing evidence for a claim about the population To set up Have to have an SRS from the population, no bias The variable has to have an exactly normal distribution in the population We don’t know population mean , but we know the population standard deviation Confidence Interval What statistic can be used to estimate the population parameter? o We can use x-bar To do a confidence interval, it is similar to the 68-95-99.7 rule. So you can say with 95% confidence, the mean number or something will fall between two standard deviations of the mean. o The sampling distribution tells us how close to the mean that the sample mean is o A statistical Estimation: tells us how close to the sample mean x bar the unknown mean is likely to be o Margin of Error: shows how accurate we believe out guess is on the variability of our estimate The confidence interval should be in the format: estimate +- margin of error Formula: margin of error = z*(standard deviation/sqrt(n)) o Confidence level An interval calculated from the sample data: x bar +_ the margin of error A confidence level C: the success rate of the method that produces the interval, which gives the probability that the interval will capture the true parameter value with repeated sampling o Format: "We are C% confident that our interval captures the unknown mean" Critical z values o Represented by z* Common z* values o Confidence 90% 95% 99% Level C Critical value z* 1.645 1.960 2.57 6 Steps for making confidence intervals 1 Identify the parameter and pick a level of confidence. 2 You have to check the conditions first to use the interval, then calculate it 3 Interpret the results in a format of " I am __% confident that the mean of ___ lies between ___ and ___." How to find confidence interval (assuming requirements for a confidence interval are fulfilled: 1 Estimate the mean and standard deviation for the population. The mean is the same as the sample mean, and the standard deviation is 1 Find the critical value: If the question is asking for a 95% confidence interval, then do Norm.s.inv(.95), and the positive and negative of this are your intervals 2 Calculate the margin of error using the formula: 1 The mean +- the margin of error is your final interval 2 "I am 95% confident that the true mean of ___ lies between __ and __" Tests of Significance Tests of significance are used to prove or disprove a certain claim, such as if a person were to say that they make 90% of their basketball shots, and in a test they only made 3 out of 10. you could use a test of significance to prove that they were lying. Parts of a significance test 1. State your hypothesis There are two hypotheses, The null hypothesis: H andothe alternative hypothesis: H The null hypothesis is always the a. claim you are testing originally. The alternative hypothesis is going to be what you think will actually happen, or what is going against the null hypothesis. The alternative hypothesis can be one sided( if it states the parameter is larger or smaller than H )oor two sided (if it states that the parameter is ≠ to the H o 2. Calculate the test statistics 3. Calculate the p value 4. Make a conclusion

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made $280 on my first study guide!"

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.