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Faizullah KhanFaizullah Khan

ROLL NO.AHROLL NO.AH--522997522997MBA (Banking& Finance)MBA (Banking& Finance)

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TOPIC: estimation and hypothesisTOPIC: estimation and hypothesistesting .testing .

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Introduction to the topic

� Statistics:

� "By statistics we mean aggregate of facts affected to a

marked extent by multiplicity of causes, numerically

expressed, enumerated or estimated according to

reasonable standard of accuracy, collected in a systematic

manner for a predetermined purpose and placed in relation

to each other."

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Stages in a statistical investigation:

1. Collection of data

2. Presentation of data

3. Analysis of data

4. Interpretation of data

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Point Estimate vs. Interval

Estimate:Point estimate. A point estimate of a population

 parameter is a single value of a statistic. For example, thesample mean x is a point estimate of the population mean. Similarly, the sample proportion p is a point estimateof the population proportion P.

Interval estimate. An interval estimate is defined by two

numbers, between which a population parameter is saidto lie. For example, a < x < b is an interval estimate of the population mean . It indicates that the populationmean is greater than a but less than b.

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Testing of Hypothesis

A hypothesis is a statement supposed to be true till it is

 proved false .

Errors in Testing Of Hypothesis

�The hypothesis is true but test rejects it (Type I error)

�The hypothesis is false but test accepts it (Type II error)

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Two tail test

true hypothesis

H0:m =10

H1 : m is not equal to 10

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R ight tail test

R ight tail test

H0:. m�10

H1:. m<10

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Left tail test

R ight tail test.

H0:. m�10

H1:. m>10

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The reason of Z-test and T- test

Z-test T-test

is known

Sample size >30

is un- know then

n<30

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Practical study

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History of company

� Engro Foods (Pvt.) Limited (EFL) has been established in

2005 as part of a diversification process at the Engro

Group. The plant located at Sukkur on 23 acre land, has

the raw milk reception capability of 300,000 liters per day

and UHT milk capacity of 200,000liters per day. The plant

has been established at a cost of R s. 1 billion which

 provides direct employment to 750 people.

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Brands

Olper¶s milk 

Olper¶s cream

Olwell

Skim milk 

Tarang

Tea milk 

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Sampling criteria

� Sample size: 200

� Limited due to time constraints

� Assigned by Course Instructor 

� Sample Unit: Individual

� Household

� Sampling Design

� Stratified Sampling

� Demographics of Sample

� Housewives 22� 35 years old

� SEC A1, A2 and B

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Hypothesis 01

� Ho: Olper¶s has been ineffective in establishing its desired  positioning o� 2

� Ha: Olper¶s has been effective in establishing its desired

 positioning a> 2

� Conclusion

� Null hypothesis is rejected

� At1

0% significance level, the sample provides sufficientevidence to conclude that since the mean is greater than 2,therefore, Olper¶s has been successful in establishing itsoverall positioning.

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Hypothesis 02

� Ho: Olper¶s media planning has been ineffective

Po�50%�

� Ha: Olper¶s media planning has been effectivePa>50%

� Conclusion

� Null hypothesis is rejected

� At 5% level of significance; his sample data provides sufficientevidence to conclude that more than 50% of the respondentshave watched the Ad, therefore, Olper¶s media planning has

 been effective.

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Finding

� Most of the participants watched entertainment and recipe channels/shows

� Most of the respondents were program specific watchers e.g. Nadia KhanShow, Cooking with R ahat.

� The Favorite channels among the participants were: Geo entertainment,Hum TV, ARY, Aaj TV & Geo news

� Average Viewing Time 30minutes

� Viewing Time: Most viewed time slots were 09:00 -12:00 and19:00 -22:00.

� Overall positioning has been established to an extent.

� The Packaging of Olper¶s is aligned with the brand positioning andrespondents showed favorable attitude towards it.

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R ecommendation

� Advertisements should be aired during these time slots9am 12am and evening 7pm -10pm

� Proposed Channel weightage for: PTV, GeoEntertainment, ARY Digital, HUMTV

� Cable movie channels as an alternate Cost effective platform for mass communication

� Advertisement should be program based rather thanchannel based.

� After TV, the widest reach and recall is of Billboardadvertisements

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Thank you