Sampling Distribution for Proportions

Slides:

Advertisements

Similar presentations

Sampling Distribution Models Sampling distributions of Proportions and Means C.L.T.

Advertisements

Sections 5.1 and 5.2 Finding Probabilities for Normal Distributions.

Normal Probability Distributions 1 Chapter 5. Chapter Outline Introduction to Normal Distributions and the Standard Normal Distribution 5.2 Normal.

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.

Section 7.4 Approximating the Binomial Distribution Using the Normal Distribution HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008.

5.1 Sampling Distributions for Counts and Proportions (continued)

AP Statistics Section 9.2 Sample Proportions

Continuous Random Variables and Probability Distributions

Population Proportion The fraction of values in a population which have a specific attribute p = Population proportion X = Number of items having the attribute.

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

The Normal Distribution

Statistics Normal Probability Distributions Chapter 6 Example Problems.

Lesson 12-1 Algebra Check Skills You’ll Need 12-4

§ 5.2 Normal Distributions: Finding Probabilities.

Sampling Distributions of Proportions. Toss a penny 20 times and record the number of heads. Calculate the proportion of heads & mark it on the dot plot.

Sampling Distributions of Proportions

Sampling Distributions of Proportions. Parameter A number that describes the population Symbols we will use for parameters include  - mean  – standard.

Warm-up 7.2 Generating Sampling Distributions. Answers to Warm-up (C)X is close to the mean and so will have a z-score close to 0. Boxplots, if they show.

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

Notes Over 12.7 Using a Normal Distribution Area Under a Curve.

Chapter 5 The Normal Curve. In This Presentation  This presentation will introduce The Normal Curve Z scores The use of the Normal Curve table (Appendix.

Sampling Distributions of Proportions. Sampling Distribution Is the distribution of possible values of a statistic from all possible samples of the same.

Modular 11 Ch 7.1 to 7.2 Part I. Ch 7.1 Uniform and Normal Distribution Recall: Discrete random variable probability distribution For a continued random.

Normal Curves and Sampling Distributions Chapter 7.

Normal Probability Distribution Using Normal Distribution for Probability.

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

Bernoulli Trials Two Possible Outcomes –Success, with probability p –Failure, with probability q = 1  p Trials are independent.

Table A & Its Applications - The entry in Table A - Table A’s entry is an area underneath the curve, to the left of z Table A’s entry is a proportion of.

6.2 Homework Questions.

“Sampling Distributions for Sample Proportions and Sample Means”

AP Review #3: Continuous Probability (The Normal Distribution)

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

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

1 Competence and a new baby, M | mastery baby | 0 1 | Total | | 151 | | |

Complemental Probabilities.

EXAMPLE 1 Find a normal probability SOLUTION The probability that a randomly selected x -value lies between – 2σ and is the shaded area under the normal.

This is a discrete distribution. Situations that can be modeled with the binomial distribution must have these 4 properties: Only two possible outcomes.

Chapter 5 Normal Probability Distributions 1 Larson/Farber 4th ed.

6.4 Standard Normal Distribution Objectives: By the end of this section, I will be able to… 1) Find areas under the standard normal curve, given a Z-value.

Unit 6 Section : Introduction to Normal Distributions and Standard Normal Distributions  A normal distribution is a continuous, symmetric, bell.

Sec 6.3 Bluman, Chapter Review: Find the z values; the graph is symmetrical. Bluman, Chapter 63.

Sampling Distributions of Proportions. Toss a penny 20 times and record the number of heads. Calculate the proportion of heads & mark it on the dot plot.

Discrete Math Section 17.4 Recognize various types of distributions. Apply normal distribution properties. A normal distribution is a bell shaped curve.

 A national opinion poll recently estimated that 44% (p-hat =.44) of all adults agree that parents of school-age children should be given vouchers good.

Chapter 7 The Normal Probability Distribution

Chapter 5 The Normal Curve.

Sampling Distributions of Proportions

Recap on Z value calculations.

Sampling Distributions of Proportions

Sampling Distributions of Proportions

Sampling Distributions of Proportions

Sampling Distributions of Proportions

Standard Normal Calculations

SECTION 10-1 Mortgage Loans pp

Finding z-scores using Chart

Chapter 7: Introduction to Sampling Distributions

Finding Area…With Calculator

In a recent year, the American Cancer said that the five-year survival rate for new cases of stage 1 kidney cancer is 95%. You randomly select 12 men who.

BINOMIAL DISTRIBUTION

Lecture Slides Elementary Statistics Twelfth Edition

Normal Probability Distributions

Population Proportion

CHAPTER 7 Sampling Distributions

Sampling Distributions of Proportions

Sampling Distributions of Proportions section 7.2

Confidence Intervals for Proportions and Variances

Sampling Distributions of Proportions A Quick Review

Bernoulli Trials Two Possible Outcomes Trials are independent.

Chapter 6: Probability.

Warm-Up Honors Algebra 2 3/27/19

Presentation transcript:

Sampling Distribution for Proportions Based on Binomial ……

Properties of Sampling Distributions for Sample Proportions

Formulas Needed for Proportions…..

Example…… Based on past experience, a bank believes that 7% of the people who receive loans will not make payments on time. The bank has recently approved 200 loans. What is the probability that over 10% of these clients will not make timely payments?

Answer…… You are finding Shade the normal distribution curve

Example…… Based on past experience, the government found that 8% of the people default on their student loans. The school approved 190 loans. Find the probability that more than 10% will default.

Answer…… Find Shade the curve to the right with an area of 10% or .1000.

Example…… We expect to sell about 500 tickets to the game and we think that 20% will be children’s tickets. What is the probability that less than 15% are children?

Answer…… Find Shade the area of .15 to the left of the distribution.