31076449 reserch analysis between wall s omore ice cream by mian shahnnawaz

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    A Research Analysis between

    walls and Omore

    PRESENTED BY:

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    Research Analysis between

    walls and OmoreQuestionnaire

    Descriptive statistics

    Distributions of High and Low user

    Current position of different companies

    Analysis of Quality, Taste and Price

    How Monthly Ice-cream Expense Depends on Age?

    Test ,whether the proportion of market share is same asthe different companies clamed?Chi-Square Goodness-of-Fit Test

    Test , whether male selection preferences differedsignificantly from female selection preference.

    Chi-Square Test for Homogeneity

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    This Data is Belongs to Students,Businessmen, and Job Holder

    PROFESSION

    Frequency Percent Valid Percent

    Cumulative

    Percent

    STUDENT 40 40.0 40.0 40.0

    BUSINESS MAN 27 27.0 27.0 67.0

    JOB HOLDER 31 31.0 31.0 98.0

    OTHER 2 2.0 2.0 100.0

    Valid

    Total 100 100.0 100.0

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    Frequency Male/FemaleSEX

    Frequency Percent Valid Percent

    Cumulative

    Percent

    MALE 61 61.0 61.0 61.0

    FEMALE 39 39.0 39.0 100.0

    Valid

    Total 100 100.0 100.0

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    SEX

    Frequency Percent Valid Percent

    Cumulative

    Percent

    MALE 61 61.0 61.0 61.0

    FEMALE 39 39.0 39.0 100.0

    Valid

    Total 100 100.0 100.0

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    SEX * FAV_ICE_CREEM Crosstabulation

    FAV_ICE_CREEM

    WALLS OMORE Total

    Count 33 28 61

    Expected Count 36.0 25.0 61.0

    MALE

    % within SEX 54.1% 45.9% 100.0%

    Count 26 13 39

    Expected Count 23.0 16.0 39.0

    SEX

    FEMALE

    % within SEX 66.7% 33.3% 100.0%

    Count 59 41 100

    Expected Count 59.0 41.0 100.0

    Total

    % within SEX 59.0% 41.0% 100.0%

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    High and Low user

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    Distributions of High and

    Low userMONTHLY_EXPENCE_ICECREEM * FAV_ICE_CREEM Crosstabulation

    Count

    FAV_ICE_CREEM

    WALLS OMORE Total

    MONTHLY_EXPENCE_ICEC

    REEM

    100.00 8 2 10

    200.00 6 4 10

    500.00 10 11 21

    1000.00 12 6 18

    1500.00 8 8 16

    2000.00 10 8 18

    2500.00 5 2 7

    Total 59 41 100

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    Distributions of High and

    Low user

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    Current position of different

    companies ?

    FAV_ICE_CREEM * MY_FAVOURATE_BCOZ Crosstabulation

    Count

    MY_FAVOURATE_BCOZ

    QUALITY TASTE PRICE Total

    WALLS 29 15 15 59FAV_ICE_CREEM

    OMORE 7 24 10 41

    Total 36 39 25 100

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    Current position of differentcompanies ?

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    How Monthly Walls

    Ice-cream ExpenseDepends on Age?

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    Model Summary

    Model R R Square

    Adjusted R

    Square

    Std. Error of the

    Estimate

    1 .529a

    .280 .272 8.657

    a. Predictors: (Constant), MONTHLY_EXPENCE_ICECREEM

    ANOVAb

    Model Sum of Squares df Mean Square F Sig.

    1 Regression 2849.891 1 2849.891 38.028 .000

    a

    Residual 7344.219 98 74.941

    Total 10194.110 99

    a. Predictors: (Constant), MONTHLY_EXPENCE_ICECREEM

    b. Dependent Variable: AGE

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    Y= a+ bX

    Y = 14.320 +3.072(X)Monthly expence of

    wall ice cream =14.320+ 3.072(Age)

    Rs.107 = 14.320+ 3.072(30 years)

    NOTE : Age zero , Makes no sense

    Coefficientsa

    Model

    Unstandardized Coefficients

    Standardized

    Coefficients

    B Std. Error Beta t Sig.

    1 (Constant) 14.320 2.182 6.563 .000

    MONTHLY_EXPENCE_ICEC

    REEM

    3.072 .498 .529 6.167 .000

    a. Dependent Variable: AGE

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    Chi-Square Goodness-of-

    Fit Test

    The test procedure described in this

    lesson is appropriate when the

    following conditions are met:

    The sampling method is simple

    random sampling.

    The population is at least 10 times

    as large as the sample. The variable under study is

    categorical.

    The expected value for each level

    of the variable is at least 5.

    http://stattrek.com/Help/Glossary.aspx?Target=Simple%20random%20samplinghttp://stattrek.com/Help/Glossary.aspx?Target=Simple%20random%20samplinghttp://stattrek.com/Help/Glossary.aspx?Target=Categorical%20variablehttp://stattrek.com/Help/Glossary.aspx?Target=Levelhttp://stattrek.com/Help/Glossary.aspx?Target=Levelhttp://stattrek.com/Help/Glossary.aspx?Target=Categorical%20variablehttp://stattrek.com/Help/Glossary.aspx?Target=Simple%20random%20samplinghttp://stattrek.com/Help/Glossary.aspx?Target=Simple%20random%20sampling
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    Problem#1

    Different Ice Cream companies

    claim that 65% of the market

    share is covered by Walls, and

    35% is cover by Omore. Total100%

    Suppose a randomly-selected 100

    customers of different companiesshows that Walls 59% , and

    Omore got 41%

    Tell us Is this consistent with

    Telecom companies 's claim? Use

    a 0.05 level of significance.

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    State the hypotheses.The first step is to state the nullhypothesis and an alternative

    hypothesis.

    Null hypothesis: The proportionof customers are as fellow, 65%

    of the customers are of walls, and35% Omore respectively.

    Alternative hypothesis: Atleast one of the proportions inthe null hypothesis is false.

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    `

    Analyze Sample Data.

    Applying the chi-square goodness

    of fit test to sample data, wecompute the degrees of freedom,

    the expected frequency counts, and

    the chi-square test statistic.

    Based on the chi-square statistic

    and the degrees of freedom, we

    determine the P-value.

    http://stattrek.com/Help/Glossary.aspx?Target=Degrees%20of%20freedomhttp://stattrek.com/Help/Glossary.aspx?Target=P-valuehttp://stattrek.com/Help/Glossary.aspx?Target=P-valuehttp://stattrek.com/Help/Glossary.aspx?Target=P-valuehttp://stattrek.com/Help/Glossary.aspx?Target=P-valuehttp://stattrek.com/Help/Glossary.aspx?Target=Degrees%20of%20freedom
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    where DF is the degrees of freedom, k is the numb

    of levels of the categorical variable, n is the numbe

    of observations in the sample, Ei is the expected

    frequency count for level i, Oi is the observed

    frequency count for level i, and 2 is the chi-square

    test statistic.

    DF= K= 2-1=1

    (Ei) = n * pi

    (E1) = 100 * 0.41 = 41

    (E2) = 100 * 0.59 = 59

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    2= [ (Oi - Ei)2 / Ei ]

    2 = [ (59 - 65)2 /65 ] + [ (41 - 35)2 / 35 ]

    2 = [ 0.554 ] + [ 1.029]

    2 = 1.58

    We use the Chi-Square Distribution Calculator

    o find P(2 > 1.58) = 0.2088

    http://stattrek.com/Tables/ChiSquare.aspxhttp://stattrek.com/Tables/ChiSquare.aspxhttp://stattrek.com/Tables/ChiSquare.aspxhttp://stattrek.com/Tables/ChiSquare.aspx
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    Interpret results.

    Since the P-value (0.2088) is more tha

    the significance level (0.05),

    we can accept the null hypothesis.

    Means Accept:

    Null hypothesis: The proportions inthe null hypothesis is true.

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    Chi-Square Test for

    Homogeneity

    This lesson explains how toconduct a chi-square test ofhomogeneity.

    The test is applied to a singlecategorical variable from two

    different populations. It is used to

    determine whether frequency

    counts are distributed identicallyacross different populations.

    http://stattrek.com/Help/Glossary.aspx?Target=Categorical%20variablehttp://stattrek.com/Help/Glossary.aspx?Target=Categorical%20variable
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    State the hypotheses. The first step is tostate the null hypothesis and an alternative

    hypothesis.

    Null hypothesis: The null hypothesis statesthat the proportion of boys who prefer the

    Walls is identical to the proportion of girls.

    Similarly, for the Omore. Thus

    H0: Pboys who prefer Walls = Pgirls who prefer WallsH0: Pboys who prefer Omore = Pgirls who prefer Omore

    Alternative hypothesis:At least one of the null hypothesis statemen

    is false.

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    Formulate an analysis plan. For thisanalysis, the significance level is 0.05.

    Using sample data, we will conduct a chi-

    square test for homogeneity.

    Analyze sample data.Applying thechi-square test for homogeneity to sample

    data, we compute the degrees of

    freedom, the expected frequency counts,and the chi-square test statistic. Based on

    the chi-square statistic and the degrees of

    freedom, we determine the P-value.

    http://stattrek.com/Help/Glossary.aspx?Target=Chi-square%20test%20for%20homogeneityhttp://stattrek.com/Help/Glossary.aspx?Target=Chi-square%20test%20for%20homogeneityhttp://stattrek.com/Help/Glossary.aspx?Target=Degrees%20of%20freedomhttp://stattrek.com/Help/Glossary.aspx?Target=Degrees%20of%20freedomhttp://stattrek.com/Help/Glossary.aspx?Target=P-valuehttp://stattrek.com/Help/Glossary.aspx?Target=P-valuehttp://stattrek.com/Help/Glossary.aspx?Target=P-valuehttp://stattrek.com/Help/Glossary.aspx?Target=P-valuehttp://stattrek.com/Help/Glossary.aspx?Target=Degrees%20of%20freedomhttp://stattrek.com/Help/Glossary.aspx?Target=Degrees%20of%20freedomhttp://stattrek.com/Help/Glossary.aspx?Target=Chi-square%20test%20for%20homogeneityhttp://stattrek.com/Help/Glossary.aspx?Target=Chi-square%20test%20for%20homogeneityhttp://stattrek.com/Help/Glossary.aspx?Target=Chi-square%20test%20for%20homogeneity
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    FAV_ICE_CREEM * SEX Crosstabulation

    Count

    SEX

    MALE FEMALE Total

    WALLS 33 26 59FAV_ICE_CREEM

    OMORE 28 13 41

    Total 61 39 100

    FAV_ICE_CREEM * SEX Crosstabulation

    SEX

    MALE FEMALE Total

    Count 33 26 59WALLS

    Expected Count 36.0 23.0 59.0

    Count 28 13 4

    FAV_ICE_CREEM

    OMORE

    Expected Count 25.0 16.0 41.0

    Count 61 39 100Total

    Expected Count 61.0 39.0 100.0

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    nterpret results. Since the P-value (0.213) ismore than the significance level (0.05), we can

    ccept the null hypothesis.

    Alternative hypothesis:he null hypothesis statements is true

    Chi-Square Tests

    Value dfAsymp. Sig. (2-

    sided)Exact Sig. (2-

    sided)Exact Sig. (1

    sided)

    Pearson Chi-Square 1.554a

    1 .213

    Continuity Correctionb

    1.077 1 .299

    Likelihood Ratio 1.570 1 .210

    Fisher's Exact Test .297 .1

    N of Valid Cases 100

    a. 0 cells (.0%) have expected count less than 5. The minimum expected count is 15.99.

    b. Computed only for a 2x2 table