Chapter 8 Hypothesis Testing
8.1
Review & Preview
Inferential statistics involve using sample data to
1.
2.
8.2
Basics of Hypothesis Testing
Part I: Basic Concepts of Hypothesis Testing
Hypothesis:
Hypothesis test (or test of significance):
Examples of ty
200
Chapter 10: Hypothesis Testing
Instructors Solutions Manual
Chapter 10: Hypothesis Testing
10.1
See Definition 10.1.
10.2
Note that Y is binomial with parameters n = 20 and p.
a. If the experimenter concludes that less than 80% of insomniacs respond t
Statistics with the SPSS Package
4. Descriptive statistics
From the Analyze menu choose the Descriptive Statistics option
4.0 Choosing your data set
If you only wish to analyse a subset of the data, then you can use the select cases option from the
data m
Statistics with the SPSS Package
5.3 Testing the assumption of normality
If we have a small data set (n<30), we should test the assumption of normality. Unless the sample is
particularly small, then drawing a histogram of the data will give us an idea of
Problem Set #3 Hypothesis Testing
Education 200C, Fall 2011
Due Friday, November 11 at 5pm
You may turn this assignment in during section, email (along with relevant calculations), or
leave it in my box in CERAS basement by 5pm.
Again, we encourage you to
1
Chapter 6: Hypothesis testing
L6_S1 Hypothesis testing
Up till now, we have dealt mainly with descriptive statistics, but as weve mentioned before, we also
have inferential statistics at our disposal. These are statistics that allow us to make statement
CHAPTER 15
STATISTICAL TESTING OF DIFFERENCES
Mathematical differences
Statistically significant
Managerially significant
Hypothesis Testing.
May be objective (produce certain
temperature) or subjective (meeting a service level)
1. State null and alternat
Problem set 4
1. For each of the following state i) the null hypothesis, ii) the alternate hypothesis, and
iii) indicate whether the alternate hypothesis is one- or two-sided/tailed.
a) You wish to explore whether drinking coffee changes one's heart rate.
REU Program
April 28, 2017
Steven A. Jones
Summer 2003
Statistical Testing
Introduction
Statistical testing is performed to determine how confident one can be in reaching conclusions
from a data set. It is highly important in biological experiments becaus
Building on the logic of hypothesis testing: T-tests
_
1) Introduce the t-test and explain when it should be
used
2) Define Directional Hypotheses (one-tailed t-tests)
and contrast them with Non-Directional Hypotheses
(two-tailed t-tests) that were descri
Statistics for Geography and Environmental Science: an
introduction in R
Richard Harris
http:/www.social-statistics.org
August 2011
Copyright Notice
You are free:
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Under the foll
Hypothesis Testing
PSY 211
3-17-09
A. Remainder of the Course
Material will remain at about the same difficulty
level
We will draw heavily on probability, Z scores,
and frequency
If youre behind now, make an effort to learn the
topics you did not under
Hypothesis Testing
Sampling Error (estimation error) a) the difference between a sample statistic and the
true population parameter that the sample statistic is being used to estimate. b) the error
caused by observing a sample instead of the population, c
STAT 515 - Chapter 8: Hypothesis Tests
CIs are possibly the most useful forms of inference
because they give a range of reasonable values for a
parameter.
But sometimes we want to know whether one
particular value for a parameter is reasonable.
In this
Hypothesis Test Difference
http:/w iki.stat.ucla.edu/socr/index.php/SOCR_Courses_2008_Thomson_ECON261
HYPOTHESIS TESTING FOR DIFFERENCE OF
POPULATION PARAMETERS
Grace S. Thomson
Instructor
1
Hypothesis Test Difference
2
HYPOTHESIS TESTING FOR DIFFERENCE O
MDM4U Probability Distributions
Quest 1
1. A hockey goaltender has a save percentage of 0.920. This means that
the probability of any single shot taken on the goaltender being a goal is
0.08. What would be the expected number of goals scored on this
goalt
Estimating Population Proportion Worksheet
_
Name:
Use the Hypotheses Test Format Sheet for each problem.
1) A magazine is considering the launch of an online edition. The magazine plans to go ahead
only if its convinced that more than 25% of current read
Bivariate data
Part I
Definitions
X = independent variable, value can be
anything, within reason
Y = dependent variable, value depends on
X
Scatter plot
A scatter plot shows the ordered pairs of
the data
From the scatter plot, we can determine if
the
Probability
Part II
Independent events
Two events, A and B, are independent if the
occurrence of one event does not affect
the probability of the occurrence of the
other.
Examples
Rolling a pair of dice
Tossing 2 coins
Drawing 2 cards from a deck if th
Introduction to Hypothesis
testing
Hypothesis
In statistics, a hypothesis is a claim or
statement about a property of a
population. This means that population
symbols will be used (and p).
In this lesson, we will learn the
components used in all hypothe
Applications of Normal Curve
Steps for word problems
1. Read the problem carefully.
2. Identify values that are given. For
now, and are given. An x
value or an area will be given.
3. Draw a diagram, showing given values
and shading the region.
4. Determin
Probability Distributions
Random variable
A random variable is a variable that
represents a number in a experiment.
Example: In having 3 children, we can get
0, 1, 2, or 3 girls. The number of girls is a
random variable.
Discrete or Continuous
Probabil
Sampling distribution of
proportions
Symbols
N = the sample size
X = the number of observations that fit the
given characteristic
Sample proportion
x
p =
n
Round value to 3
decimal places
Example
A survey of 2500
households
showed that
1000 had more
th
Binomial probability
Conditions
1. Each trial has only two outcomes
2. The procedure has a fixed number of
trials.
3. The trials are independent, conducted
under the same conditions.
4. The probabilities remain constant
throughout the trials.
Are these bi
Sampling distribution of
proportions
Symbols
N = the sample size
X = the number of observations that fit the
given characteristic
Sample proportion
x
p =
n
Round value to 3
decimal places
Example
A survey of 2500
households
showed that
1000 had more
th
Sampling distribution of the
mean and
Central Limit Theorem
Data
A small apartment
building has 3
apartments.
Apartment
A
B
C
People
Find and
Use the TI to obtain the values.
The values are:
Form samples of size 2
We need to form all
samples of size 2
Normal curve
Normal curve
The curve is symmetric
about the mean.
Each half represents 50%
of the total area.
The total area is 1.0000
Areas can be thought of
as probabilities.
Areas could be written as
percents.
Areas can not be
negative.
Standard N
Probability
Part I
Probability
Probability refers to the chances of an
event happening.
Symbolize P(A) to refer to event A.
Values of Probability
All values are between 0 and 1.
Write answers as 3 place decimals.
If P(A) = 0, it means the event WILL
Estimating the population
mean
Objective
Our objective is to predict or
estimate the value for the
unknown mean based on
data from a sample.
Assumptions
1. The sample is a simple random
sample.
2. Either the population is normally
distributed or n > 30
Estimating the population
mean
Objective
Our objective is to predict or
estimate the value for the
unknown mean based on
data from a sample.
Assumptions
1. The sample is a simple random
sample.
2. Either the population is normally
distributed or n > 30