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CYCLE 8 DAY 3 Hypothesis Testing

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

Question image

If the computed value is equal to =2.57, what will be the decision for the null hypothesis?

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Reject the Null hypothesis.

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Do not reject the Null hypothesis.

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Multiple Choice

Question image

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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Do not Reject the Null Hypothesis.

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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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Habit # 7 : Sharpen the Saw
Together with your group members
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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

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Hypothesis Testing Application

STEM – Mathematics Unit

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