Distribution of the Sample Proportion

Slides:

Advertisements

Similar presentations

Chapter 5 Some Key Ingredients for Inferential Statistics: The Normal Curve, Probability, and Population Versus Sample.

Advertisements

Statistics Estimates and Sample Sizes

Modular 12 Ch 7.2 Part II to 7.3. Ch 7.2 Part II Applications of the Normal Distribution Objective B : Finding the Z-score for a given probability Objective.

PROBABILITY AND SAMPLES: THE DISTRIBUTION OF SAMPLE MEANS.

8.2 Sampling Distributions

6-5 The Central Limit Theorem

Modular 13 Ch 8.1 to 8.2.

Chapter 11: Random Sampling and Sampling Distributions

Chapter 6: Probability.

Normal and Sampling Distributions A normal distribution is uniquely determined by its mean, , and variance,  2 The random variable Z = (X-  /  is.

Statistics Normal Probability Distributions Chapter 6 Example Problems.

Unit 4: Normal Distributions Part 3 Statistics. Focus Points Find the areas under the standard normal curve Find data from standard normal table.

From Last week.

The Probability of a Type II Error and the Power of the Test

© 2002 Thomson / South-Western Slide 8-1 Chapter 8 Estimation with Single Samples.

Statistics Sampling Distributions

Copyright © 2013 Pearson Education, Inc. Publishing as Prentice Hall Statistics for Business and Economics 8 th Edition Chapter 6 Sampling and Sampling.

Estimating a Population Proportion. Example What is the estimate of the proportion of households tuned to the super bowl?

Estimating a Population Variance

Slide 1 © 2002 McGraw-Hill Australia, PPTs t/a Introductory Mathematics & Statistics for Business 4e by John S. Croucher 1 n Learning Objectives –Identify.

Central Limit Theorem with Means

HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 7.3.

Chapter 10 – Sampling Distributions Math 22 Introductory Statistics.

7.4 – Sampling Distribution Statistic: a numerical descriptive measure of a sample Parameter: a numerical descriptive measure of a population.

Determination of Sample Size: A Review of Statistical Theory

1 Chapter 5. Section 5-1 and 5-2. Triola, Elementary Statistics, Eighth Edition. Copyright Addison Wesley Longman M ARIO F. T RIOLA E IGHTH E DITION.

§ 5.3 Normal Distributions: Finding Values. Probability and Normal Distributions If a random variable, x, is normally distributed, you can find the probability.

HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 6.3.

Copyright © 1998, Triola, Elementary Statistics Addison Wesley Longman 1 Estimates and Sample Sizes Chapter 6 M A R I O F. T R I O L A Copyright © 1998,

Confidence Intervals Chapter 6. § 6.3 Confidence Intervals for Population Proportions.

Confidence Intervals for a Population Mean, Standard Deviation Unknown.

AP Statistics: Section 2.2 B. Recall finding a z-score in section 2.1: z =

Chapter 7: The Distribution of Sample Means. Frequency of Scores Scores Frequency.

Confidence Intervals for a Population Proportion Excel.

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.

 A standardized value  A number of standard deviations a given value, x, is above or below the mean  z = (score (x) – mean)/s (standard deviation)

Chapter 8 Interval Estimates For Proportions, Mean Differences And Proportion Differences.

Describing a Score’s Position within a Distribution Lesson 5.

Design and Data Analysis in Psychology I Salvador Chacón Moscoso Susana Sanduvete Chaves School of Psychology Dpt. Experimental Psychology 1.

Chapter 6 Confidence Intervals.

Chapter 6 Confidence Intervals.

Statistical Reasoning for everyday life

Sampling Distributions

Chapter 5  NORMAL DISTRIBUTION AND Z-SCORE

8.1 Sampling Distributions

Chapter 7 Sampling Distributions.

Confidence Interval (CI) for the Mean When σ Is Known

Chapter 7 Sampling Distributions.

Central Limit Theorem for Proportions

M A R I O F. T R I O L A Estimating Population Proportions Section 6-5

Distribution of the Sample Proportion

Sampling Distribution

Sampling Distribution

Design and Data Analysis in Psychology I

Chapter 6 Confidence Intervals.

Section 3: Estimating p in a binomial distribution

Hypothesis Tests for a Population Mean

Chapter 7 Sampling Distributions.

Advanced Placement Statistics

Applications of the Normal Distribution

BUSINESS MATHEMATICS & STATISTICS.

Chapter 7: Introduction to Sampling Distributions

Chapter 7: The Distribution of Sample Means

Chapter 7 Sampling Distributions.

Chapter 5 A Normal World.

Continuous Random Variables 2

Chapter 7 Sampling Distributions.

The Normal Distribution

Section 9.2: Sample Proportions

Presentation transcript:

Distribution of the Sample Proportion

Sample Proportion sample proportion is a statistic that estimates the population proportion p.

“By Hand” Step 1: Find the mean and standard deviation Step 2: Convert the value(s) you are working with to a z score (round z score to 2 decimal places) Step 3: Look it up in the table based on area to the right, left, and in between

NormalCDF Usage Step 1: Find the mean and standard deviation Step 2: Convert the value(s) you are working with to a z score (round z score to 2 decimal places) Step 3: Plug it into one of the following 3 forms

1. Distribution of the Sample Proportion

1. Distribution of the Sample Proportion (cont.) b) In the sample obtained in part (a), what is the probability the proportion of visitors who are from outside of the United States is greater than 0.74? c) In the sample obtained in part (a), what is the probability the proportion of visitors who are from outside of the United States is less than 0.65?

1. Distribution of the Sample Proportion (cont.) d) In the sample obtained in part (a), what is the probability the proportion of visitors who are from outside of the United States is between 0.60 and 0.68? e) Would it be unusual that, in a survey of 800 YouTube visitors that 400 or fewer are from outside of the United States?