

CYCLE 8 DAY 3 Hypothesis Testing
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Rova Jean Cabasisi
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30 Slides • 3 Questions
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Hypothesis Testing Application
STEM – Mathematics Unit
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LIVE JESUS IN OUR HEARTS, FOREVER.
For the greater glory of God. For the love of our country.
Think Critically • Persevere • Ask •
Comply
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LEARNING TARGETS:
1. I can formulate the null and alternative hypotheses.
2. I can determine the statistical tests to be used.
3. I can perform data analysis using Microsoft Excel
4. I can draw conclusions based on the test-statistic value
and the rejection.
5. I can perform the 6 steps in hypothesis testing.
6. I can solve problems applying the hypothesis testing.
Habit #2: Begin with the End in Mind
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Reorder
Reorder the following according to the process of "Hypothesis Testing"
Formulate the null and alternative hypotheses
Selecting the Level of Significance
Determining the type of test to be used
Defining the area of rejection
Calculating the value of the statistical test
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Steps in Hypothesis Testing
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Two types of Hypothesis
Alternative Hypothesis (Ha)It is a
claim about the population that is
contradictory to the null hypothesis.
Null Hypothesis (HO)A statement of
equality or no difference.
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Steps in Hypothesis Testing
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It measures the risks in decision-making
using the hypothesis testing methodology. It
is the probability of committing the
“Type I error”.
Level of Significance (α)
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A type I error is an error of rejecting a null hypothesis
when in fact it is true. (False positive)
A type II error is an error of accepting the null
hypothesis when in fact it is false. (False negative)
Type I and Type II Errors
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Steps in Hypothesis Testing
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It is a method or tool used to decide
whether or not to REJECT a statistical
hypothesis. These are classified into
one-tailed or two-tailed tests.
Statistical Test of Hypothesis
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A one-tailed test is used when an
alternative hypothesis is directional.
A two-tailed test is used when an
alternative hypothesis is nondirectional.
Statistical Test of Hypothesis
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Statistical Test of Hypothesis
≠
<
>
(nondirectional)
(directional)
two-tailed test
one-tailed test
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The basis for deciding whether to reject
or not the hypothesis being tested.
Statistical Test of Hypothesis
z - test
t - test
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Statistical Test of Hypothesis
Z-test is a statistical hypothesis
testing technique which is used
to test the null hypothesis when
the population’s standard
deviation is known and the
sample size is large (30 or more)
T-test is a statistical hypothesis
technique which is used to test
the null hypothesis when
population standard deviation is
unknown and the sample size is
small (size less than 30)
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Steps in Hypothesis Testing
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Area of Rejection / Acceptance
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We are going to use the
Data Analysis
in Microsoft Excel
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On your microsoft excel,
File > options > add ins > manage > excel add
ins > go > choose the first two analysis > go
Data Analysis
On your ipad,
enable this add-in, XL Miner
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Steps in Hypothesis Testing
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Multiple Choice
If the computed value is equal to =2.57, what will be the decision for the null hypothesis?
Reject the Null hypothesis.
Do not reject the Null hypothesis.
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Multiple Choice
If the type of test is directional (left-tailed test) with a significance level of 0.05. Will the null hypothesis be rejected or not?
Do not Reject the Null Hypothesis.
Reject the Null Hypothesis.
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Decision/Statistical Conclusions
If the type of test is directional (left-tailed test) with a significance level of 0.05. Will the null hypothesis be rejected or not?
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Decision/Statistical Conclusions
df = 6
α = 5%
Tail = 1
1.943
Decision Rule:
Reject the null
hypothesis (Ho) if the
computed value is
greater than 1.943.
right-tail test
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Let’s Apply!
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Sharpen the Saw!
Group Activity:
Each group will be given their own Jamboard which includes the set of raw data and a research question. Use the given jamboard as your presentation material and input your answers on each slide.
Perform the 6-step Hypothesis testing to answer the research question. After 20 minutes, random group will be called to present their answers.
Jamboard link TEMPLATE: bit.ly/SP11GG#
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LIVE JESUS IN OUR HEARTS, FOREVER.
For the greater glory of God. For the love of our country.
“I love all the many ways God has acted
in my life.”
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EXCERCISE
https://docs.google.com/spreadsheets/d/1XA7
2wThC7kEanLMKYqRxlubndi3fPgx6/edit?usp
=sharing&ouid=108678225855156621746&rtp
of=true&sd=true
15
Hypothesis Testing Application
STEM – Mathematics Unit
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