Nick Bryson
MA 5 and 6
Test and CI for One Proportion
Sample
1
X
600
N
1000
Sample p
0.600000
95% CI
(0.568878, 0.630531)
Test and CI for One Proportion
Sample
1
X
600
N
1000
Sample p
0.600000
90% CI
(0.573823, 0.625739)
Test and CI for One Proportion
Sam
in
Name
Hypothesis Testing of Proportions (MINITAB)
For Categorical Variable
The general steps ofa hypotheses test.
1. Dene the parameter of interest with the population. Check for randomization and n is large
enough to expect at least 15 successes and
Section 6.2
Recall the Empirical Rule: If a population distribution is bellshaped, or
normal, then
1) 68% of the population is within one standard deviation of the mean
2) 95% of the population is within two standard deviations of the mean
3) 99.7%(almost
Math 147-Section 7.2
As we see, the mean of the sampling distribution is close the population mean.
The sampling distribution, however has less variability than the population
distribution.
The standard deviation of the sampling distribution of the sample
Math 147-Chapter 8.2
Statistical Inference refers to methods that help us predict how close a sample
statistic falls to the population parameter. Two key aspects are
1) Statistical inference methods use probability calculations that assume that the
data w
Math 147-Sections 9.1 and 9.2
Read the example "Are Astrology Predictions Better than Guessing?"
In statistics a hypothesis is a statement about a population, usually of the form that a
parameter takes a particular numerical value or falls in a certain ra
Math 147-Section 8.3 and 8.4
8.3 Confidence Interval to estimate a Population Mean
The standard error of a sampling distribution of a sample mean is o/Vn
In practice we rarely know the population standard deviation. We can use the
sample standard deviatio
Practice for Final Exam
1. A study is done with 400 individuals to determine whether there is an association betwee
n
blood I} pe and duodenal ulcers. A sample of 130 patients and 270 controls is selected, and the
blood I) pe ofeneh is determined. The dat
Nick Bryson
Minitab Activity 3
1.
2.
3.
4.
5.
6.
7.
8.
To figure out if a persons gender determines what their political party is.
The explanatory variable is gender.
The response variable is party identification.
30.29% of males surveyed are democrats
39
Nick Bryson
Extra Credit Minitab Activity
Questions:
a. The observation of 16 minutes is 0.22236 standard deviations away from the mean.
b. The observation of 8 minutes is 0.220226 standard deviations away from the mean.
c. The probability that a randomly
Quinn ANNOTATED COPY - Two Independent Group PROPORTION - HT (Chapter 10.1) Page 1
CONTEXT
Research Problem: Test the difference in percentages of low birth weight babies between married and
unmarried mothers.
Explanatory variable:
Group 1 = unmarried mot
CONTEXT
Research Problem: Estimate the difference between the mean birth weight in ounces of all babies born too married or
unmarried mothers in North Carolina in 2001 with 95% confidence.
Explanatory variable: Marital status
Group 1 = married mothers
Gro
Test and CI for One Proportion
Sample
1
X
6841
N
15984
Sample p
0.427990
96% CI
(0.419953, 0.436028)
Using the normal approximation.
An observational study using a simple random sample of 15,984 unmarried teenage girls
from 2006 through 2010 was conducted
ANNOTATED - Significance/Hypothesis Testing for One Mean (Chapter 9.3)
CONTEXT:
RESEARCH PROBLEM: TEST if the mean age of all birth mothers in North Carolina in 2001 is more than 26 years.
Population of interest: ALL birth mothers in North Carolina in 200
TOUNCES
CONTEXT:
RESEARCH PROBLEM: Estimate the mean birth weight in ounces of all births in North Carolina in 2001 with 95%
confidence.
Population of interest: All births in North Carolina in 2001
Variable of interest: The birth weight of the infant in o
To examine if a relationship exists between mothers age and the weight of the infant, a
study of 1450 birth records from North Carolina in 2001 were examined. The results are
shown below.
The Pearson correlation of Birth Weight in ounces of the baby and M
Relationship between premature status of child and birth weight status*
Not Low Birth Weight
Low Birth Weight (n=191)
(n=1259)
Full Term
1220 (96.9%)
39 (3.1%)
Premature
105 (55.0%)
86 (45.0%)
* Low birth weight is defined as less than 2500 grams.
Prematu
USE THE NCBIRTHS1450
CONTEXT:
RESEARCH PROBLEM: Estimate the percentage of all births in North Carolina in 2001 that had a low birth weight with
95% confidence.
Population of interest: All births in North Carolina in 2001
Variable of interest: Birth weigh
To examine if a relationship exists between the premature status of an infant and the
birth weight of that infant exists, a study of 1450 birth records from North Carolina in
2001 was conducted. The results are shown below in the table and graph.
Descript