Sampling results 5 (10%) 74% 10 (20%) 25 (50%) 45 (90%) Sample Size

Slides:



Advertisements
Similar presentations
Inference about Means/Averages Chapter 23 Looking at means rather than percentages.
Advertisements

Topics
Confidence Intervals. General Mean (  ) Computation First, edit and summarise the data. Obtain: sample size (n), sample mean (m) and sample standard.
Sample Means W~N(980, 1002) μ=980 σ / √n = P(W>1000)= We only expect 2 samples in every 100 to be this big.
CONFIDENCE INTERVALS HONORS ADVANCED ALGEBRA PRESENTATION 1-9.
Mean for sample of n=10 n = 10: t = 1.361df = 9Critical value = Conclusion: accept the null hypothesis; no difference between this sample.
Determining the Sample Size for Estimating p. The Confidence Interval (Point Estimate)  z  /2 (Appropriate St’d Deviation) The confidence interval is:
AP Statistics Section 13.2 A
MA 102 Statistical Controversies Monday, April 15, 2002 Today: 95% confidence intervals - exercises General confidence intervals Reading: None new Exercises:
T T Population Variance Confidence Intervals Purpose Allows the analyst to analyze the population confidence interval for the variance.
Population Proportion The fraction of values in a population which have a specific attribute p = Population proportion X = Number of items having the attribute.
1 Confidence Intervals for Means. 2 When the sample size n< 30 case1-1. the underlying distribution is normal with known variance case1-2. the underlying.
5.3 Determining Sample Size to Estimate p. To Estimate a Population Proportion p If you desire a C% confidence interval for a population proportion p.
1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Section 7.2 Estimating a Population Proportion Objective Find the confidence.
Quiz 6 Confidence intervals z Distribution t Distribution.
Analysis & Interpretation: Individual Variables Independently Chapter 12.
Correlation and Prediction Error The amount of prediction error is associated with the strength of the correlation between X and Y.
 decimals/cc-7th-fracs-to-decimals/v/converting-fractions-to-decimals-example.
Section 8.4 Estimating Population Proportions HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008 by Hawkes Learning Systems/Quant Systems,
IV. Inferential Statistics B. Confidence Intervals
Determination of Sample Size: A Review of Statistical Theory
Estimation Chapter 8. Estimating µ When σ Is Known.
Business Statistics: A Decision-Making Approach, 6e © 2005 Prentice-Hall, Inc. Chap 7-1 4th Lesson Estimating Population Values part 2.
Normal Distribution.
Losing Weight (a) If we were to repeat the sampling procedure many times, on average, the sample proportion would be within 3 percentage points of the.
Summary A confidence interval for the population mean, is constructed using the formula: sample mean ± z multiplied by σ/√n where σ is the population.
AP Statistics.  Has been about the distribution of sample means  and the distribution of the difference of sample means.  and the distribution of sample.
Percentage without a calculator 10% 10%, 20 %, 30% …. 90% 25%, 50% or 75% 33 ⅓ % and 66 ⅔ % 5% 15%, 25%, 35% etc Mixture.
Confidence Intervals for a Population Proportion Excel.
1 Chapter 12 Inferences for Population Proportions.
Chapter 12 Inference for Proportions AP Statistics 12.2 – Comparing Two Population Proportions.
Chapter 8: Confidence Intervals for One Population Mean 8.3 Margin of Error.
Probability in Sampling. Key Concepts l Statistical terms in sampling l Sampling error l The sampling distribution.
ESTIMATION OF THE MEAN. 2 INTRO :: ESTIMATION Definition The assignment of plausible value(s) to a population parameter based on a value of a sample statistic.
SWBAT: Construct and interpret a confidence interval for a population proportion. Do Now: A confidence interval is centered around a: I. Parameter II.
Margin of Error S-IC.4 Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation.
Confidence Intervals Chapter 10. Confidence Intervals: The Basics Section 10.1.
 Confidence Intervals  Around a proportion  Significance Tests  Not Every Difference Counts  Difference in Proportions  Difference in Means.
Using and Understanding 95% Confidence Intervals in BIOL 1011.
6.1 Confidence Intervals for the Mean (Large Samples) Prob & Stats Mrs. O’Toole.
Statistics Unit Check your understanding…. Can you answer these? What does the standard deviation of a sample represent? What is the difference between.
Chapter 10 Inference on Two Samples 10.3 Inference About Two Population Proportions.
FREQUENCY DISTRIBUTION
Introduction For inference on the difference between the means of two populations, we need samples from both populations. The basic assumptions.
7.3: Confidence Intervals and Sample Size for Proportions
5.3 Determining Sample Size to Estimate p
Inferences On Two Samples
Since everything is a reflection of our minds,
Sample Size and Confidence Interval
Statistical Inference for the Mean Confidence Interval
Section 7.7 Introduction to Inference
Why does sampling work?.
Section 3: Estimating p in a binomial distribution
Estimating the Value of a Parameter Using Confidence Intervals
You and your lab partner independently determine the concentration of Ca2+ in a water sample. The results are: You Lab partner 350 ppm
CHAPTER 12 Inference for Proportions
Chapter 13 - Confidence Intervals - The Basics
Section 12.2 Comparing Two Proportions
CHAPTER 12 Inference for Proportions
Unit 3 Review (Calculator)
Determining Which Method to use
Chapter 12 Inference for Proportions
6-3 and 6-4 Quiz Review Pages , #24, 30, 32, 38, 39, 42, 45–46
C.2.10 Sample Questions.
C.2.8 Sample Questions.
Calculate 9 x 81 = x 3 3 x 3 x 3 x 3 3 x 3 x 3 x 3 x 3 x 3 x =
C.2.8 Sample Questions.
Chapter 14 - Confidence Intervals: The Basics
Percentage Practice © T Madas.
Confidence Intervals Usually set at 95 % What does that mean ?
Presentation transcript:

Sampling results 5 (10%) 74% 10 (20%) 25 (50%) 45 (90%) Sample Size Actual result (% green) Group 1 result (% green and difference) Group 2 result (% green and difference) Group 3 result (% green and difference) Group 4 result (% green and difference) 5 (10%) 74% 10 (20%) 25 (50%) 45 (90%)

Confidence intervals calculated via www.raosoft.com Population Sample size (n/%) Confidence in result 50 5 (10%) 95% +/- 42% 10 (20%) 95% +/- 28% 25 (50%) 95%+/- 14% 45 (90%) 95% +/- 5%

95% +/- 5% sample needed for different populations Sample size (95% +/-5%) Percentage sampled 50 45 90% 100 79 79% 200 132 66% 300 168 56% 400 196 49% 500 217 43.4% 1000 278 27.8% 10000 370 3.7%