### Present Remotely

Send the link below via email or IM

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

# Statistics

No description
by

## Rechille Baguindo

on 30 August 2013

Report abuse

#### Transcript of Statistics

Contents
Statistics
"Difference between Two Sample Proportions"
What are sample proportions?
What is a two sample z-test of two proportions all about?
what are the steps in testing the difference between two sample proportions?
The sample proportion
is the proportion of individuals in a sample sharing a certain trait,
denoted p

In this section, you will learn how to use a z-test to test the difference between two population proportions p and p using a sample proportion from each population.
When is a two sample z-test of two proportions used?
What are the symbols used?
To use a z-test to test such a difference, the following conditions are necessary:

1. The samples must be independent.
2. The samples must be large enough to use a normal sampling distribution. That is:

n p ≥> 5, n q ≥> 5, n p ≥> 5, n q >≥ 5

1
2
^
1
1
1
2
2
2
2
-
1
-
-
-
The comparison of two sample
proportion or percentages to
determine if there is a significant
difference is similar to the
analysis of the arithmetic means
of two samples.
If the null hypothesis states that p1 = p2, then the expression, p1 - p2 is equal to 0 in the preceding test.
examples and exercises
Prepared By:
Baguindo, Rechille Mae C.
Ortiz, Necergio D.
Pamintuan, Jolicia Aicila Marie R.
Domingo, Joe Angiolo D.
Apostol, Mark Joseph G.
ˆ

ˆ

ˆ

ˆ

ˆ

ˆ

ˆ

ˆ

ˆ

ˆ

ˆ

ˆ

You want to determine whether there is a difference in the proportions. So, the null and alternative hypotheses are:

Ho: p1 ≥ p2 and
Ha: p1 < p2 (claim)

Because the test is left-tailed and the level of significance is  = 0.01, the critical value is
-2.33. The rejection region is z < -2.33

ˆ

ˆ

ˆ

ˆ